# NCERT solutions for Class 8 Maths chapter 14 - Factorisation [Latest edition]

## Chapter 14: Factorisation

Exercise 14.1Exercise 14.2Exercise 14.3Exercise 14.4Others
Exercise 14.1 [Page 220]

### NCERT solutions for Class 8 Maths Chapter 14 FactorisationExercise 14.1 [Page 220]

Exercise 14.1 | Q 1.1 | Page 220

Find the common factors of the terms

12x, 36

Exercise 14.1 | Q 1.2 | Page 220

Find the common factors of the terms

2y, 22xy

Exercise 14.1 | Q 1.3 | Page 220

Find the common factors of the terms

14pq, 28p2q2

Exercise 14.1 | Q 1.4 | Page 220

Find the common factors of the terms

2x, 3x2, 4

Exercise 14.1 | Q 1.5 | Page 220

Find the common factors of the terms

6abc, 24ab2, 12a2b

Exercise 14.1 | Q 1.6 | Page 220

Find the common factors of the terms 16x3, −4x2, 32x

Exercise 14.1 | Q 1.7 | Page 220

Find the common factors of the terms 10pq, 20qr, 30rp

Exercise 14.1 | Q 1.8 | Page 220

Find the common factors of the terms 3x2y3, 10x3y2, 6x2y2z

Exercise 14.1 | Q 2.01 | Page 220

Factorise the given expressions 7x − 42

Exercise 14.1 | Q 2.02 | Page 220

Factorise the given expressions  6p − 12q

Exercise 14.1 | Q 2.03 | Page 220

Find the common factors of the terms 7a2 + 14a

Exercise 14.1 | Q 2.04 | Page 220

Factorise the given expressions −16z + 20z3

Exercise 14.1 | Q 2.05 | Page 220

Factorise the given expressions 20l2m + 30 alm

Exercise 14.1 | Q 2.06 | Page 220

Factorise the given expressions  5x2y − 15xy2

Exercise 14.1 | Q 2.07 | Page 220

Factorise the given expressions 10a2 − 15b2 + 20c2

Exercise 14.1 | Q 2.08 | Page 220

Factorise the given expressions  −4a2 + 4ab − 4 ca

Exercise 14.1 | Q 2.09 | Page 220

Factorise the given expressions x2yz + xy2z + xyz2

Exercise 14.1 | Q 2.1 | Page 220

Factorise the given expressions ax2y + bxy2 + cxyz

Exercise 14.1 | Q 3.1 | Page 220

Factorise x2 + xy + 8x + 8y

Exercise 14.1 | Q 3.2 | Page 220

Factorise 15xy − 6x + 5y − 2

Exercise 14.1 | Q 3.3 | Page 220

Factorise ax + bx − ay − by

Exercise 14.1 | Q 3.4 | Page 220

Factorise 15pq + 15 + 9q + 25p

Exercise 14.1 | Q 3.5 | Page 220

Factorise z − 7 + 7xy − xyz

Exercise 14.2 [Pages 223 - 224]

### NCERT solutions for Class 8 Maths Chapter 14 FactorisationExercise 14.2 [Pages 223 - 224]

Exercise 14.2 | Q 1.1 | Page 223

Factorise the given expressions.

a2 + 8a + 16

Exercise 14.2 | Q 1.2 | Page 223

Factorise the given expressions.

p2 − 10p + 25

Exercise 14.2 | Q 1.3 | Page 223

Factorise the given expressions.

25m2 + 30m + 9

Exercise 14.2 | Q 1.4 | Page 223

Factorise the given expressions.

49y2 + 84yz + 36z2

Exercise 14.2 | Q 1.5 | Page 223

Factorise the given expressions.

4x2 − 8x + 4

Exercise 14.2 | Q 1.6 | Page 223

Factorise the given expressions.

121b2 − 88bc + 16c2

Exercise 14.2 | Q 1.7 | Page 223

Factorise the given expressions.

(l + m)2 − 4lm (Hint: Expand (l + m)2 first)

Exercise 14.2 | Q 1.8 | Page 223

Factorise the given expressions.

a4 + 2a2b2 + b4

Exercise 14.2 | Q 2.1 | Page 223

Factorise  4p− 9q2

Exercise 14.2 | Q 2.2 | Page 223

Factorise 63a2 − 112b2

Exercise 14.2 | Q 2.3 | Page 223

Factorise 49x2 − 36

Exercise 14.2 | Q 2.4 | Page 223

Factorise 16x5 − 144x3

Exercise 14.2 | Q 2.5 | Page 223

Factorise (l + m)2 − (l − m)2

Exercise 14.2 | Q 2.6 | Page 223

Factorise  9x2y2 − 16

Exercise 14.2 | Q 2.7 | Page 223

Factorise (x2 − 2xy + y2) − z2

Exercise 14.2 | Q 2.8 | Page 223

Factorise 25a2 − 4b+ 28bc − 49c2

Exercise 14.2 | Q 3.1 | Page 223

Factorise the expressions ax2 + bx

Exercise 14.2 | Q 3.2 | Page 223

Factorise the expressions 7p2 + 21q2

Exercise 14.2 | Q 3.3 | Page 223

Factorise the expressions 2x3 + 2xy2 + 2xz2

Exercise 14.2 | Q 3.4 | Page 223

Factorise the expressions am2 + bm2 + bn2 + an2

Exercise 14.2 | Q 3.5 | Page 223

Factorise the expressions (lm + l) + m + 1

Exercise 14.2 | Q 3.6 | Page 223

Factorise the expressions  y(y + z) + 9(y + z)

Exercise 14.2 | Q 3.7 | Page 223

Factorise the expressions 5y2 − 20y − 8z + 2yz

Exercise 14.2 | Q 3.8 | Page 223

Factorise the expressions 10ab + 4a + 5b + 2

Exercise 14.2 | Q 3.9 | Page 223

Factorise the expressions 6xy − 4y + 6 − 9x

Exercise 14.2 | Q 4.1 | Page 224

Factorise a4 − b4

Exercise 14.2 | Q 4.2 | Page 224

Factorise p4 − 81

Exercise 14.2 | Q 4.3 | Page 224

Factorise x4 − (y + z)4

Exercise 14.2 | Q 4.4 | Page 224

Factorise x4 − (x − z)4

Exercise 14.2 | Q 4.5 | Page 224

Factorise a4 − 2a2b2 + b4

Exercise 14.2 | Q 5.1 | Page 224

Factorise the given expressions p2 + 6p + 8

Exercise 14.2 | Q 5.2 | Page 224

Factorise the given expressions. q2 − 10q + 21

Exercise 14.2 | Q 5.3 | Page 224

Factorise the given expressions.

p2 + 6p − 16

Exercise 14.3 [Page 227]

### NCERT solutions for Class 8 Maths Chapter 14 FactorisationExercise 14.3 [Page 227]

Exercise 14.3 | Q 1.1 | Page 227

Carry out the following divisions.

28x4 ÷ 56x

Exercise 14.3 | Q 1.2 | Page 227

Carry out the following divisions

−36y3 ÷ 9y2

Exercise 14.3 | Q 1.3 | Page 227

Carry out the following divisions.

66pq2r3 ÷ 11qr2

Exercise 14.3 | Q 1.4 | Page 227

Carry out the following divisions.

34x3y3z3 ÷ 51xy2z3

Exercise 14.3 | Q 1.5 | Page 227

Carry out the following divisions.

12a8b8 ÷ (−6a6b4)

Exercise 14.3 | Q 2.1 | Page 227

Divide the given polynomial by the given monomial.

(5x2 − 6x) ÷ 3x

Exercise 14.3 | Q 2.2 | Page 227

Divide the given polynomial by the given monomial.

(3y− 4y6 + 5y4) ÷ y4

Exercise 14.3 | Q 2.3 | Page 227

Divide the given polynomial by the given monomial.

8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2

Exercise 14.3 | Q 2.4 | Page 227

Divide the given polynomial by the given monomial.

(x3 + 2x2 + 3x) ÷ 2x

Exercise 14.3 | Q 2.5 | Page 227

Divide the given polynomial by the given monomial.

(p3q6 − p6q3) ÷ p3q3

Exercise 14.3 | Q 3.1 | Page 227

Work out the following divisions.

(10x − 25) ÷ 5

Exercise 14.3 | Q 3.2 | Page 227

Work out the following divisions.

(10x − 25) ÷ (2x − 5)

Exercise 14.3 | Q 3.3 | Page 227

Work out the following divisions.

10y(6y + 21) ÷ 5(2y + 7)

Exercise 14.3 | Q 3.4 | Page 227

Work out the following divisions.

9x2y2(3z − 24) ÷ 27xy(z − 8)

Exercise 14.3 | Q 3.5 | Page 227

Work out the following divisions.

96abc(3a − 12)(5b − 30) ÷ 144(a − 4) (b − 6)

Exercise 14.3 | Q 4.1 | Page 227

Divide as directed 5(2x + 1) (3x + 5) ÷ (2x + 1)

Exercise 14.3 | Q 4.2 | Page 227

Divide as directed 26xy(x + 5) (y − 4) ÷ 13x(y − 4)

Exercise 14.3 | Q 4.3 | Page 227

Divide as directed 52pqr (p + q) (q + r) (r + p) ÷ 104pq(q + r) (r + p)

Exercise 14.3 | Q 4.4 | Page 227

Divide as directed 20(y + 4) (y2 + 5y + 3) ÷ 5(y + 4)

Exercise 14.3 | Q 4.5 | Page 227

Divide as directed x(x + 1) (x + 2) (x + 3) ÷ x(x + 1)

Exercise 14.3 | Q 5.1 | Page 227

Factorise the expressions and divide them as directed.

(y2 + 7y + 10) ÷ (y + 5)

Exercise 14.3 | Q 5.2 | Page 227

Factorise the expressions and divide them as directed.

(m2 − 14m − 32) ÷ (m + 2)

Exercise 14.3 | Q 5.3 | Page 227

Factorise the expressions and divide them as directed.

(5p2 − 25p + 20) ÷ (p − 1)

Exercise 14.3 | Q 5.4 | Page 227

Factorise the expressions and divide them as directed.

4yz(z2 + 6z − 16) ÷ 2y(z + 8)

Exercise 14.3 | Q 5.5 | Page 227

Factorise the expressions and divide them as directed.

5pq(p2 − q2) ÷ 2p(p + q)

Exercise 14.3 | Q 5.6 | Page 227

Factorise the expressions and divide them as directed.

12xy(9x2 − 16y2) ÷ 4xy(3x + 4y)

Exercise 14.3 | Q 5.7 | Page 227

Factorise the expressions and divide them as directed.

39y3(50y2− 98) ÷ 26y2(5y+ 7)

Exercise 14.4 [Pages 228 - 229]

### NCERT solutions for Class 8 Maths Chapter 14 FactorisationExercise 14.4 [Pages 228 - 229]

Exercise 14.4 | Q 1 | Page 228

Find and correct the errors in the statement: 4(x − 5) = 4x − 5

Exercise 14.4 | Q 2 | Page 228

Find and correct the errors in the statement: x(3x + 2) = 3x2 + 2

Exercise 14.4 | Q 3 | Page 228

Find and correct the errors in the statement: 2x + 3y = 5xy

Exercise 14.4 | Q 4 | Page 228

Find and correct the errors in the statement: x + 2x + 3x = 5x

Exercise 14.4 | Q 5 | Page 228

Find and correct the errors in the statement: 5y + 2y + y − 7y = 0

Exercise 14.4 | Q 6 | Page 228

Find and correct the errors in the statement: 3x + 2x = 5x2

Exercise 14.4 | Q 7 | Page 228

Find and correct the errors in the statement: (2x)2 + 4(2x) + 7 = 2x2 + 8x + 7

Exercise 14.4 | Q 8 | Page 228

Find and correct the errors in the statement: (2x)2 + 5x = 4x + 5x = 9x

Exercise 14.4 | Q 9 | Page 228

Find and correct the errors in the statement: (3x + 2)2 = 3x2 + 6x + 4

Exercise 14.4 | Q 10.1 | Page 229

Find and correct the errors in the following mathematical statement. Substituting x = −3 in

x2 + 5x + 4 gives (−3)2 + 5 (−3) + 4 = 9 + 2 + 4 = 15

Q 10.2 | Page 229

Find and correct the errors in the following mathematical statement. Substituting x = −3 in

x2 − 5x + 4 gives (−3)2 − 5 (−3) + 4 = 9 − 15 + 4 = −2

Exercise 14.4 | Q 10.3 | Page 229

Find and correct the errors in the following mathematical statement. Substituting x = −3 in  x2 + 5x gives (−3)2 + 5 (−3) = −9 − 15 = −24

Exercise 14.4 | Q 11 | Page 229

Find and correct the errors in the statement: (y − 3)2 = y2 − 9

Exercise 14.4 | Q 12 | Page 229

Find and correct the errors in the statement: (z + 5)2 = z2 + 25

Exercise 14.4 | Q 13 | Page 229

Find and correct the errors in the statement: (2a + 3b) (a − b) = 2a2 − 3b2

Exercise 14.4 | Q 14 | Page 229

Find and correct the errors in the statement: (a + 4) (a + 2) = a2 + 8

Exercise 14.4 | Q 15 | Page 229

Find and correct the errors in the statement: (a − 4) (− 2) = a2 − 8

Exercise 14.4 | Q 16 | Page 229

Find and correct the errors in the statement: (3x^2)/(3x^2) = 0

Exercise 14.4 | Q 17 | Page 229

Find and correct the errors in the statement: (3x^2 + 1)/(3x^2) = 1 + 1 = 2

Exercise 14.4 | Q 18 | Page 229

Find and correct the errors in the statement: (3x)/(3x + 2) = 1/2

Exercise 14.4 | Q 19 | Page 229

Find and correct the errors in the statement : 3/(4x + 3) = 1/(4x)

Exercise 14.4 | Q 20 | Page 229

Find and correct the errors in the statement:  (4x + 5)/(4x) = 5

Exercise 14.4 | Q 21 | Page 229

Find and correct the errors in the statement: (7x + 5)/5 = 7x

## Chapter 14: Factorisation

Exercise 14.1Exercise 14.2Exercise 14.3Exercise 14.4Others

## NCERT solutions for Class 8 Maths chapter 14 - Factorisation

NCERT solutions for Class 8 Maths chapter 14 (Factorisation) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Class 8 Maths solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 8 Maths chapter 14 Factorisation are Factors and Multiples, Factorisation by Taking Out Common Factors, Factorising Algebraic Expressions, Factorisation by Regrouping Terms, Factors of the Form (x + a)(x + b), Dividing a Monomial by a Monomial, Dividing a Polynomial by a Monomial, Dividing a Polynomial by a Polynomial, Concept of Find the Error, Factorisation Using Identities.

Using NCERT Class 8 solutions Factorisation exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 8 prefer NCERT Textbook Solutions to score more in exam.

Get the free view of chapter 14 Factorisation Class 8 extra questions for Class 8 Maths and can use Shaalaa.com to keep it handy for your exam preparation