Siri Kannada Text Book Class 8 Solutions Answers Guide

Siri Kannada Text Book Class 8 Answers Solutions Guide Notes Pdf free download is part of KSEEB Solutions for Class 8. Here we have given Karnataka State Board Syllabus 8th Standard 1st Language Siri Kannada Textbook NCERT Solutions. Students can also read Tili Kannada Text Book Class 8 Solutions of 2nd language.

Siri Kannada Text Book Class 8 Answers Solutions Guide (1st Language)

Siri Kannada Text Book Class 8 Solutions 1st Language

Class 8 Siri Kannada Gadya Bhaga​ Karnataka State Board Solutions

Class 8 Siri Kannada Padya Bhaga Karnataka State Board Solutions

Class 8 Siri Kannada Pathya Puraka Adhyayana Karnataka State Board Solutions

Tili Kannada Text Book Class 8 Answers Solutions Guide (2nd Language)

Tili Kannada Text Book Class 8 Solutions 2nd Language

Class 8 Tili Kannada Gadya Bhaga​ Karnataka State Board Solutions

Class 8 Tili Kannada Padya Bhaga Karnataka State Board Solutions

Class 8 Tili Kannada Saiddhantika Vyakarana

We hope the given Siri Kannada Text Book Class 8 Solutions Answers Guide Notes Pdf free download will help you. If you have any queries regarding Karnataka State Board Syllabus 8th Standard 1st Language Siri Kannada Textbook Answers, drop a comment below and we will get back to you at the earliest.

Tili Kannada Text Book Class 8 Solutions Answers Guide

Tili Kannada Text Book Class 8 Answers Solutions Guide Notes Pdf free download is part of KSEEB Solutions for Class 8. Here we have given Karnataka State Board Syllabus 8th Standard 2nd Language Tili Kannada Textbook Solutions.

Tili Kannada Text Book Class 8 Answers Solutions Guide (2nd Language)

Tili Kannada Text Book Class 8 Solutions 2nd Language

Class 8 Tili Kannada Gadya Bhaga​ Karnataka State Board Solutions

Class 8 Tili Kannada Padya Bhaga Karnataka State Board Solutions

Class 8 Tili Kannada Saiddhantika Vyakarana

Class 8 Tili Kannada Rachana Bhaga

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KSEEB Solutions for Class 8 Maths Karnataka State Syllabus

Expert Teachers at KSEEBSolutions.com has created KSEEB Solutions for Class 8 Maths Pdf Free Download in English Medium and Kannada Medium of 8th Standard Karnataka Maths Textbook Solutions Answers Guide, Textbook Questions and Answers, Notes Pdf, Model Question Papers with Answers, Study Material, are part of KSEEB Solutions for Class 8. Here we have given KTBS Karnataka State Board Syllabus for Class 8 Maths Textbook Solutions based on NCERT Syllabus.

Karnataka State Board Syllabus for Class 8 Maths Solutions in English Medium

KSEEB Solutions for Class 8 Maths

8th Class Maths Textbook Solutions Karnataka State NEW Syllabus

KSEEB Solutions for Class 8 Maths Chapter 1 Rational Numbers

8th Class Maths Textbook Answers Karnataka State Syllabus Chapter 2 Linear Equations in One Variable

KSEEB 8th Maths Solutions Chapter 3 Understanding Quadrilaterals

Karnataka State Class 8 Maths Solutions Chapter 4 Practical Geometry

Karnataka State Syllabus Class 8 Maths Solutions Pdf Chapter 5 Data Handling

8th Class Maths State Syllabus Solutions Karnataka Chapter 6 Square and Square Roots

Karnataka State Class 8 Maths Solutions Pdf Chapter 7 Chapter 7 Cube and Cube Roots

8th Standard Maths Solutions Karnataka State Syllabus Chapter 8 Comparing Quantities

8th Class Maths Textbook Karnataka State Syllabus Solutions Chapter 9 Algebraic Expressions and Identities

KSEEB Maths Solutions for Class 8 Chapter 10 Visualizing Solid Shapes

8th Standard Maths Guide Karnataka State Syllabus Pdf Chapter 11 Mensuration

8th Standard Maths Notes Karnataka State Syllabus Chapter 12 Exponents and Powers

Karnataka State Syllabus For Class 8 Maths Guide Chapter 13 Direct and Inverse Proportions

Class 8 Maths Solution Karnataka State Syllabus Chapter 14 Chapter 14 Factorization

8th Class Maths Textbook Answers Karnataka Chapter 15 Introduction to Graphs

Karnataka State Board Syllabus for Class 8 Maths Chapter 16 Playing with Numbers

8th Class Maths Textbook Solutions Karnataka State Syllabus (OLD Syllabus)

KSEEB Solutions for Class 8 Maths Chapter 1 Playing with Numbers

8th Class Maths Textbook Answers Karnataka State Syllabus Chapter 2 Algebraic Expressions

KSEEB 8th Maths Solutions Chapter 3 Axioms, Postulates and Theorems

Karnataka State Class 8 Maths Solutions Chapter 4 Factorisation

Karnataka State Syllabus Class 8 Maths Solutions Pdf Chapter 5 Squares, Square Roots, Cubes, Cube Roots

8th Class Maths State Syllabus Solutions Karnataka Chapter 6 Theorems on Triangles

Karnataka State Class 8 Maths Solutions Pdf Chapter 7 Rational Numbers

8th Standard Maths Solutions Karnataka State Syllabus Chapter 8 Linear Equations in One Variable

8th Class Maths Textbook Karnataka State Syllabus Solutions Chapter 9 Commercial Arithmetic

KSEEB Maths Solutions for Class 8 Chapter 10 Exponents

8th Standard Maths Guide Karnataka State Syllabus Pdf Chapter 11 Congruency of Triangles

8th Standard Maths Notes Karnataka State Syllabus Chapter 12 Construction of Triangles

Karnataka State Syllabus For Class 8 Maths Guide Chapter 13 Statistics

Class 8 Maths Solution Karnataka State Syllabus Chapter 14 Introduction of Graphs

8th Class Maths Textbook Answers Karnataka Chapter 15 Quadrilaterals

Karnataka State Board Syllabus for Class 8 Maths Chapter 16 Mensuration

Karnataka State Board Syllabus for Class 8 Maths Solutions in Kannada Medium

8th Class Maths Textbook Solutions in Kannada Medium Karnataka State Syllabus

KSEEB Solutions for Class 8 Maths Chapter 1 Sankhyegalondigina Aata

KSEEB Solutions for Class 8 Maths Chapter 2 Bijoktigalu

KSEEB Solutions for Class 8 Maths Chapter 3 Swayam Siddhagalu, Adhara Pratignegalu Mattu Prameyagalu

KSEEB Solutions for Class 8 Maths Chapter 4 Apavartisuvike

KSEEB Solutions for Class 8 Maths Chapter 5 Varga, Vargamulagalu, Ghana Mattu Ghanamulagalu

KSEEB Solutions for Class 8 Maths Chapter 6 Tribhujagala Melina Prameyagalu

KSEEB Solutions for Class 8 Maths Chapter 7 Bhagalabdha Sankhyegalu

KSEEB Solutions for Class 8 Maths Chapter 8 Ondu Charaksharavulla Sarala Rekhatmaka Samikaranagalu

Karnataka State Board Syllabus for Class 8 Maths Chapter 9 Vanijya Ganitha

Karnataka State Board Syllabus for Class 8 Maths Chapter 10 Ghatankagalu

Karnataka State Board Syllabus for Class 8 Maths Chapter 11 Tribhujagala Sarvasamate

Karnataka State Board Syllabus for Class 8 Maths Chapter 12 Tribhujagala Rachane

Karnataka State Board Syllabus for Class 8 Maths Chapter 13 Sankhya Shastra

Karnataka State Board Syllabus for Class 8 Maths Chapter 14 Alekha(Nakshe)Gala Parichaya

Karnataka State Board Syllabus for Class 8 Maths Chapter 15 Chaturbhujagalu

Karnataka State Board Syllabus for Class 8 Maths Chapter 16 Kshetra Ganita

We hope the given KSEEB Solutions for Class 8 Maths Pdf Free Download in English Medium and Kannada Medium of 8th Std Karnataka Maths Textbook Answers Solutions Guide, Textbook Questions and Answers, Notes Pdf, Model Question Papers with Answers, Study Material will help you. If you have any queries regarding KTBS Karnataka State Board Syllabus for Class 8 Maths Textbooks Solutions based on NCERT Syllabus, drop a comment below and we will get back to you at the earliest.

KSEEB Solutions for Class 8 Maths Chapter 12 Tribhujagala Rachane Ex 12.4

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KSEEB Solutions for Class 8 Maths Chapter 12 Tribhujagala Rachane Ex 12.4

KSEEB Solutions for Class 8 Maths Chapter 12 Tribhujagala Rachane Ex 12.4 1
KSEEB Solutions for Class 8 Maths Chapter 12 Tribhujagala Rachane Ex 12.4 2

KSEEB Solutions for Class 8 Maths Chapter 12 Tribhujagala Rachane Ex 12.4 3

KSEEB Solutions for Class 8 Maths Chapter 4 Factorisation Ex 4.2

Students can Download Maths Chapter 4 Factorisation Ex 4.2 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

Karnataka Board Class 8 Maths Chapter 4 Factorisation Ex 4.2

1. In the following, you are given the product pq and the sum p + q. Determine p and q.

Question i.
pq = 18, p + q = 11
Answer:
p = 9, q = 2

Question ii.
pq = 32 and p + q = – 12
Ans.
p = -8, q = – 4

Question iii.
pq = -24 and p + q = 2
Answer:
p = 6, q = – 4

Question iv.
pq = -12 and p + q = 11
Answer:
p = 12, q = – 1

Question v.
pq = – 4 and p + q = – 5
Answer:
p = – 6 and q = 1

Question vi.
pq = – 44 and p + q = – 7
Answer:
p = -11, q = 4

2. Factorise.

Question i.
x² + 6x + 8
Answer:
x² + 4x + 2x + 8
x(x + 4) + 2(x + 4)
(x + 4)(x + 2)

Question ii.
x² + 4x + 3
Answer:
x² + 3x + x + 3
x(x + 3) + 1 (x + 3)
(x + 3)(x + 1)

Question iii.
a² + 5a + 6
Answer:
a² + 3a + 2a + 6
a(a + 3) + 2(a + 3)
(a + 3)(a + 2)

Question iv.
a² – 5a + 6
Answer:
a² – 3a – 2a + 6
a(a – 3) – 2(a – 3)
(a – 3)(a – 2)

Question v.
a² – 3a – 40
Answer:
a² – 8a + 5a – 40
a(a – 8) + 5(a – 8)
(a – 8)(a + 5)

Question vi.
x² – x – 72
Answer:
x² – 9x + 8x – 72
x(x – 9) + 8(x – 9)
(x – 9)(x + 8)

3. Factorise :

Question i.
x² + 14x + 49
Answer:
x² + 14x + 49
Identity a² + 2ab + b² = (a + b)²
= x² + 2 × x × 7 + 7²
= (x + 7 )²

Question ii.
4x² + 4x + 1
Answer:
4x² + 4x + 1
Identity a² +2ab + b² =(a + b)²
= (2x)² + (2)(x)(l) +1²
= (2x +1)²

Question iii.
a²-10a+ 25
Answer:
a² – 10a + 25
Identity a² – 2ab + b² = (a – b)²
= a² – (2)(a)(5) + 5²
= (a-5)²

Question iv.
2×2 – 24x + 72
Answer:
2x² – 24x + 72
= 2(x² – 12x + 36)
Identity a² – 2ab + b² = (a – b)²
= 2(X² – (2)(x)(6) + 6²)
= 2(x-6)²

Question v.
p² – 24p + 144
Answer:
p2 – 24p + 144
Identity a² – 2ab + b² = (a – b)²
= p² – (2)(p)(12²) + 12²
= (p – 12)²

Question vi.
x3-12×2 + 36x
Answer:
x3 – 12×2 + 36x
Identify a² – 2ab + b2 =(a – b)²
=x [x² -12.x + 36]
= x[x² – (2)(x)(6) + 6²]
= x(x – 6)²

We get factors of 144 are 1, 4, 2, 3, 6, 8, 16, 9, 12, 18, 24, 36, 48, 72, 144.

KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3

Students can Download Maths Chapter 13 Statistics Ex 13.3 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

Karnataka Board Class 8 Maths Chapter 13 Statistics Ex 13.3

Question 1.
Runs scored by 10 batsmen in a one-day cricket match are given. Find the average run scored. 23, 54, 08, 94, 60, 18, 29, 44, 05, 86
Answer:
Σ x = 23 + 54 + 08 + 94 + 60 + 18 + 29 + 44 + 05 + 86 = 421
N = 10
Average = Mean = \overline{X}=\frac{\Sigma x}{N}=\frac{421}{10}=42.1

Question 2.
Find the mean weight form the following table:

Weight (kg) 29 30 31 32 33
No. of children 02 01 04 03 05

Answer:

Weigh t(kg) No. of children(x) ‘ f
29 02 58
30 01 30
31 04. 124
32 03 96
33 05 164
N= 15 Zf = 473

Mean = \(\frac{\Sigma f_{X}}{N}=\frac{473}{15}=31.53\)

Question 3.
Calculate the mean for the following frequency distribution.

Mark 10-20 20-30 30-40 40-50 50-60 60-70 70-80
Frequency 3 7 10 6 8 2 4

Answer:

Marks Frequency Midpoint fx
10-20 3 15 45
20-30 7 25 175
30-40 10 35 350
40-50 6 45 270
50-60 8 55 440
60-70 2 65 130
70-80 4 75 300
N = 40 Efx = 1710

Mean = \(\frac{\Sigma f_{x}}{N}=\frac{1710}{40}=42.75\)

Question 4.
Calculate the mean for the following frequency distribution.

Mark 15-19 20-24 25-29 30-34 35-39 40-44
Frequency 6 5 9 12 6 2

Answer:

Marks. Frequency Midpoint f(X)
15-19 6 17 102
20-24 5 22 *110
25-29 9 27 243
30-34 12 32 384
35-39 6 37 222
40-44 2 42 84
N = 40 Efx = 1145

Mean = \(\overline{X}=\frac{\Sigma f_{X}}{N}=\frac{1145}{40}=28.625\)

Question 5.
Find the median of the data 15,22, 9,20, 6,18,11,25,14.
Answer:
6, 9, 11, 14,(15), 18, 20, 22,25 (Ascending order)
N = 9,
\frac{N+1}{2}+\frac{9+1}{2}=\frac{10}{2}=5^{\text { th }}
Median = 15.

Question 6.
Find the median of the data 22,28,34, 49, 44, 57,18,10,33, 41, 66, 59.
Answer:
10, 18, 22, 28, 33, 34, 41, 44, 49, 57, 59, 66 (Ascending order)
N = 10
∴ Median = \frac{34+41}{2}=\frac{75}{2}=37.5

Question 7.
Find the median for the following frequency distribution table.

Class interval 110-119 120-129 130-139 140-149 150-159 160-169
Frequency 6 8 15 10 6 5

Answer:

Class interval Frequency (f) Cumulative frequency (fc)
110-119 6 6
120-129 8 14
130-139 15 29
140-149 10 45
160-169 5 50
 N = 50

N = 50
\(\frac{\mathrm{N}}{2}=\frac{50^{25}}{\not 2}=25\)
∴ Median class is 130 – 139
LRL = 129.5
Fc = 14
Fm = 15
i = 10
KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex. 13.3 1

Question 8.
Find the median for the following frequency distribution table.

Class interval 0-5 5-10 10-15 15-20 20-25 25-30
Frequency 5 3 9 10 8 5

Answer:

Class interval Frequency (t) Cumulative frequency (fc)
0-5 5 5
5-10 3 8
10-15 9 , 17
15-20 10 27
20-25 8 35
25-30 5 40
N = 40

N = 40
\(\frac{N}{2}=\frac{40}{2}=20\)
∴ Median class is 15 – 20
LRL = 15
Fc = 17
Fm = 9
i = 5
KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex. 13.3 2

Question 9.
Find the mode for the following data.
(i) 4,3,1,5,3, 7, 9,6 Answer: Mode = 3
(ii) 22,36,18,22,20,34,22, 42, 46,42
Answer:
Mode = 22

Question 10.
Find the mode for the following data

X 5 10 12 15 20 30 40
f 4 8 11 13 16 12 9

Answer:
Mode = 20 (It has the highest frequency)

Tili Kannada Text Book Class 8 Solutions Gadya Chapter 1 Buddhana Salahe

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Tili Kannada Text Book Class 8 Solutions Gadya Bhaga Chapter 1 Buddhana Salahe

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Tili Kannada Text Book Class 8 Solutions Gadya Chapter 1 Buddhana Salahe 1

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Siri Kannada Text Book Class 8 Solutions Padya Chapter 1 Kannadigara​ Tayi

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Siri Kannada Text Book Class 8 Solutions Padya Bhaga Chapter 1 Kannadigara​ Tayi

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KSEEB Solutions for Class 8 Maths Chapter 8 Linear Equations in One Variable Ex 8.2

Students can Download Maths Chapter 8 Linear Equations in One Variable Ex 8.2 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

Karnataka Board Class 8 Maths Chapter 8 Linear Equations in One Variable Ex 8.2

Question 1.
If 4 is added to a number and the sum is multiplied 3, the result is 30. Find the number.
Answer:
Let the number be ‘x’.
If 4 is added to it will be x + 4.
Sum is multiplied by 3 the result is 30.
∴ (x + 4)3 = 30
3x +12 = 30
3x = 30 – 12
3x = 18
x = \(\frac { 18 }{ 3 }\)
x = 6
∴The number is 6

Question 2.
Find three consecutive odd numbers whose sum is 219.
Answer:
Let the odd number be ‘x’.
The next two consecutive numbers are x + 2 and x + 4
x + (x + 2) + (x + 4) = 219
3x + 6 = 219
3x = 219 – 6
3x = 213
x = \(\frac { 213 }{ 3 }\)
x = 71
x + 2 = 71 + 2 = 73
x + 4 = 71 + 4 = 75
Three consecutive odd numbers are 71, 73, 75

Question 3.
A number subtracted by 30 gives 14 subtracted by 3 times the number. Find the number.
Answer:
Let the number be x
Number subtracted by 30 = 30 – x
14 subtracted by 3 times the number 3x – 14
∴30 – x = 3x – 14
30+ 14 = 3x + x
44 = 4x
x = \(\frac { 44 }{ 4 }\)
x =11
∴ The number is 11

Question 4.
If 5 is subtracted from three times a number the result is 16. Find the number.
Answer:
Let the number be x, 5 is subtracted from 3 times the number the result is 16.
3x – 5 = 16
3x= 16 + 5
3x = 21
x = \(\frac { 21 }{ 3 }\)
x = 7
∴ The number is 7

Question 5.
Find two numbers such that one of them exceeds the other by 9 and their sum is 81.
Answer:
Let the number is x. The other number is x + 9.
Their sum is 81
∴ x + (x + 9) = 81
2x = 81 – 9
2x = 72
x = \(\frac{72}{2}\)
x = 36
x + 9 = 36 + 9 = 45
∴ The number are 36 and 45

Question 6.
Prakruthi’s age is 6 time Sahil’s age. After 15 years prakruthi will be 3 times as old as Sahil. Find their age.
Answer:
Let Sahil’s present age be x. Prakruthi’s present age is 6x, 15 years later Sahil age will be (x + 15) years and Prakruthi age will be (6x + 15) years.
Given that the Prakruthi age will be 3 times as old as Sahil.
∴6x +15 = 3(x + 15)
6x + 15 = 3x + 45
6x – 3x = 45 – 15
3x = 30
x = \(\frac{30}{3}\) = 10
Sahils age = x = 10 years Prakruthis age = 6x = 6 x 10 = 60 years

Question 7.
Ahmed’s father is thrice as old as Ahmed. After 12 years, his age will be twice that of his son. Find their present age.
Answer:
Ahmed’s presents age be x
Fathers present age = 3x
12 years later Ahmed’s age = x + 12
and father’s age = 3x + 12
Given 3x + 12 = 2(x + 12)
3x+ 12 = 2x + 24
3x – 2x = 24 – 12
x = 12 years
∴ Ahmed’s age = 12 years
Fathers age = 3x = 3 × 12 = 36 years.

Question 8.
Sanju is 6 years older than his brother Nishu. If the sum of their ages is 28 years what are their present ages.
Answer:
Let Nishu’s age be ‘x’ Sanju’s age = x + 6
Sum of their ages = 28 x + (x + 6) = 28
2x + 6 = 28
2x = 28 – 6
2x = 22
x = \(\frac{22}{2}\)
x = 11
Nishu’sage = x = 11 years
Sanju’ s age = x + 6 = 11 + 6 = 17 years

Question 9.
Viji is twice as old as his brother Deepu. If the difference of their ages is 11 years, find their present age.
Answer:
Let Deep’s age be ‘x’, Viji’s age is 2x
Difference of their age = 11
2x – x = 11
x = 11
∴ Deepu’s age = x = 11 years
Viji’s age = 2x = 2 x 11 = 22 years

Question 10.
Mrs. Joseph is 27 years older than her daughter Bindu. After 8 years she will be twice as old as Bindu. Find their present ages.
Answer:
Let Bindu’s present age be ‘x’ years.
Mrs. Joseph’s present age = x + 27 years.
After 8 years Bindu’s age = x + 8 and Mrs.
Josephs age = x + 27 + 8
= x + 35 years.
Given that x + 35 = 2(x + 8)
x + 35 = 2x + 16
35 – 16 = 2x – x
19 = x
x= 19
Bindu’s present age = 19 years
Mrs.Joseph’s age = x + 27 = 19 + 27 = 46 years

Question 11.
After 16 years Leena will be three times as old as she is now. Find her present age.
Answer:
Let Leena’s present age be ‘x’ years
16 years later she will be (x + 16) years
Given x + 16 = 3x
16 = 2x
x = \(\frac { 16 }{ 2 }\)
x = 8 years
Leena’ s present age = 8 years

Question 12.
A rectangle has a length which is 5 cm less than twice its breadth. If the length is decreased by 5 cm and breadth is increased by 2 cm the perimeter of the resulting rectangle will be 74 cm. Find the length and breadth of the original rectangle.
Answer:
Let the breadth of the original rectangle be ‘b’ twice the breadth is 2b.
The length of the rectangle is 5 cm less than twice the breadth.
∴ Length = 2b – 5
If the length is decreased by 5 then length
is 2b – 5 – 5 = 2b – 10
If the breadth is increased by 2cm then breadth is b + 2 cm.
Perimeter of new rectangle = 2(length + breadth)
74 = 2(2b – 10 + b + 2)
74 = 2(3b – 8)
74 + 16 = 6b 90 = 6b
b = \(\frac{90}{6}\)
b = 15cm.
Breadth of the original rectangle = 15 cm
Length of the original rectangle = 2b – 5
= 2 × 15 – 5
= 30 – 5
= 25 cm

Question 13.
The length of a rectangular field is twice its breadth. If the perimeter of the field is 288m. Find the dimensions of the field.
Answer:
Let breadth of the rectangular field bee ‘x’m
∴ Its length = 2x
Its perimeter = 288
2(1 + b) = 288
2(2x + x) = 288
2(3x) = 288
6x = 288
x = \(\frac { 288 }{ 6 }\) = 48
Its length = 2x = 2 × 48 = 96m
breadth = x = 48m

Question 14.
Srishti’s salary is the same as 4 times Azar’s salary. If together they earn Rs 3750 a month find their individual salaries.
Answer:
Let Axar’s salary be x. Sristi’s salary is 4x together they earn Rs. 3750
∴ x + 4x = 3750
5x = 3750
x = \(\frac{3750}{5}\)
x = 750
4x = 4 × 750 = 3000
∴ Azar’s salary is Rs.750 and Sristi’s salary is Rs.3000

KSEEB Solutions for Class 8 Maths Chapter 4 Factorisation Ex 4.1

Students can Download Maths Chapter 4 Factorisation Ex 4.1 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

Karnataka Board Class 8 Maths Chapter 4 Factorisation Ex 4.1

1. Resolve into factors.

Question i.
x² + xy
Answer:
x² + xy = x(x + y)

Question ii.
3x² – 6x
Answer:
3x² – 6x = 3x (x – 2)

Question iii.
(1.6)a² – (0.8)a
Answer:
(1.6)² – (0.8)a
= (0.8 x 2a²) – (0.8)a
= 0. 8a(2a- 1)

Question iv.
5 – 10m – 20n
Answer:
5 – 10m -20n = 5(1 – 2m – 4n)

2. Froctorise:

Question i.
a² + ax + ab + bx
Answer:
a² + ax + ab + bx a(a + x) + b(a + x)
(a + x)(a + b)

Question ii.
3ac + 7bc – 3ad – 7bd
Answer:
3ac + 7bc – 3ad – 7bd
c(3a + 7b – d(3a + 7b) (3a + 7b) (c-d)

Question iii.
3xy – 6zy – 3xt + 6zt
Answer:
3y (x – 2z) – 3t(x – 2z)
(x – 2z) (3y – 3t)

Question iv.
y3 + 3y² + 2y – 6 – xy + 3x
Answer:
y² (y – 3) + 2(y – 3) – x(y – 3)
(y- 3) (y² + 2 – x)

3. Factorise:

Question i.
4a² – 25
Answer:
4a² – 25
= (2a)² – 52
[a² – b²=(a+b)(a-b)]
= (2a + 5)(2a – 5)

Question ii.
\(x^{2}-\frac{9}{16}\)
Ans.
KSEEB Solutions for Class 8 Maths Chapter 4 Factorisation Ex. 4.1 1

Question iii.
x4 – y4
Answer:
x4 – y4
= (x²)² – (y²)²
Identity a² – b² = (a + b)(a – b)
= (x² + y²)(x² – y²)
= (x²+ y²)(x + y)(x – y)

Question iv.
\(\left(7 \frac{3}{10}\right)^{2}-\left(2 \frac{1}{10}\right)^{2}\)
Ans.
KSEEB Solutions for Class 8 Maths Chapter 4 Factorisation Ex. 4.1 2
KSEEB Solutions for Class 8 Maths Chapter 4 Factorisation Ex. 4.1 3

Question v.
(0.7)² – (0.3)²
Answer:
(0.7)² – (0.3)²
Identity a² – b² = (a + b)(a – b)
= (0.7 + 0.3)(0.7 – 0.3)
= (1.0)(0.4)
= 0.4

Question vi.
(5a-2b)²-(2a-b)²
Answer:
(5a-2b)² – (2a-b)²
Identity a² – b² = (a + b)(a – b)
= [5a – 2b + 2a – b]
= [5a – 2b – (2a – b)]
= (7a – 3b)[5a – 2b – 2a + b]
= (7a – 3b)(3a – b)

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