# Selina solutions for Concise Mathematics Class 8 ICSE chapter 13 - Factorisation [Latest edition]

## Chapter 13: Factorisation

Exercise 13 (A)Exercise 13 (B)Exercise 13 (C)Exercise 13 (D)Exercise 13 (E)Exercise 13 (F)
Exercise 13 (A) [Page 157]

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 13 FactorisationExercise 13 (A) [Page 157]

Exercise 13 (A) | Q 1 | Page 157

Factorise : 15x + 5

Exercise 13 (A) | Q 2 | Page 157

Factorise : a3 - a2 +a

Exercise 13 (A) | Q 3 | Page 157

Factorise : 3x2 + 6x3

Exercise 13 (A) | Q 4 | Page 157

Factorise : 4a2 - 8ab

Exercise 13 (A) | Q 5 | Page 157

Factorise : 2x3b2 - 4x5b4

Exercise 13 (A) | Q 6 | Page 157

Factorise : 15x4y3 - 20x3y

Exercise 13 (A) | Q 7 | Page 157

Factorise : a3b - a2b2 - b3

Exercise 13 (A) | Q 8 | Page 157

Factorise : 6x2y + 9xy2 + 4y3

Exercise 13 (A) | Q 9 | Page 157

Factorise : 17a6b8 - 34a4b6 + 51a2b4

Exercise 13 (A) | Q 10 | Page 157

Factorise : 3x5y - 27x4y2 + 12x3y3

Exercise 13 (A) | Q 11 | Page 157

Factorise : x2(a-b)-y2 (a-b)+z2(a-b)

Exercise 13 (A) | Q 12 | Page 157

Factorise : (x + y)(a + b) + (x - y)(a + b)

Exercise 13 (A) | Q 13 | Page 157

Factorise : 2b (2a + b) - 3c (2a + b)

Exercise 13 (A) | Q 14 | Page 157

Factorise : 12abc - 6a2b2c2 + 3a3b3c3

Exercise 13 (A) | Q 15 | Page 157

Factorise : 4x(3x - 2y) - 2y(3x - 2y)

Exercise 13 (A) | Q 16 | Page 157

Factorise : (a+ 2b) (3a + b) - (a+ b) (a+ 2b) +(a+ 2b)

Exercise 13 (A) | Q 17 | Page 157

Factorise : 6xy(a2 + b2) + 8yz(a2 + b2) -10xz(a2 + b2

Exercise 13 (B) [Page 158]

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 13 FactorisationExercise 13 (B) [Page 158]

Exercise 13 (B) | Q 1 | Page 158

Factorise : a2 + ax + ab + bx

Exercise 13 (B) | Q 2 | Page 158

Factorise : a2 - ab - ca + bc

Exercise 13 (B) | Q 3 | Page 158

Factorise : ab - 2b + a2 - 2a

Exercise 13 (B) | Q 4 | Page 158

Factorise : a3 -a2 +a -1

Exercise 13 (B) | Q 5 | Page 158

Factorise : 2a - 4b - xa + 2bx

Exercise 13 (B) | Q 6 | Page 158

Factorise :  xy - ay - ax + a2 + bx - ab

Exercise 13 (B) | Q 7 | Page 158

Factorise : 3x5 - 6x4 - 2x3 + 4x2 + x - 2

Exercise 13 (B) | Q 8 | Page 158

Factorise : - x2y - x + 3xy + 3

Exercise 13 (B) | Q 9 | Page 158

Factorise : 6a2 - 3a2b - bc2 + 2c2

Exercise 13 (B) | Q 10 | Page 158

Factorise : 3a2b - 12a2 - 9b + 36

Exercise 13 (B) | Q 11 | Page 158

Factorise : x2 - (a - 3)x - 3a

Exercise 13 (B) | Q 12 | Page 158

Factorise : x2 - (b - 2)x - 2b

Exercise 13 (B) | Q 13 | Page 158

Factorise : a(b - c) - d(c - b)

Exercise 13 (B) | Q 14 | Page 158

Factorise : ab2 - (a - c) b - c

Exercise 13 (B) | Q 15 | Page 158

Factorise : (a2 - b2) c + (b2 - c2)a

Exercise 13 (B) | Q 16 | Page 158

Factorise : a3 - a2 - ab + a + b - 1

Exercise 13 (B) | Q 17 | Page 158

Factorise : ab(c2 + d2) - a2cd - b2cd

Exercise 13 (B) | Q 18 | Page 158

Factorise : 2ab2 - aby + 2cby - cy2

Exercise 13 (B) | Q 19 | Page 158

Factorise : ax + 2bx + 3cx - 3a - 6b - 9c

Exercise 13 (B) | Q 20 | Page 158

Factorise : 2ab2c - 2a + 3b3c - 3b - 4b2c2 + 4c

Exercise 13 (C) [Page 159]

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 13 FactorisationExercise 13 (C) [Page 159]

Exercise 13 (C) | Q 1 | Page 159

Factorise: 16 - 9x2

Exercise 13 (C) | Q 2 | Page 159

Factorise: 1 - 100a2

Exercise 13 (C) | Q 3 | Page 159

Factorise: 4x2 - 81y

Exercise 13 (C) | Q 4 | Page 159

Factorise: 4/25 - 25b^2

Exercise 13 (C) | Q 5 | Page 159

Factorise: (a+ 2b)2 - a2

Exercise 13 (C) | Q 6 | Page 159

Factorise: (5a - 3b)2 - 16b2

Exercise 13 (C) | Q 7 | Page 159

Factorise: a4 - (a2 - 3b2)2

Exercise 13 (C) | Q 8 | Page 159

Factorise:  (5a - 2b)2 - (2a - b)2

Exercise 13 (C) | Q 9 | Page 159

Factorise:  1 - 25 (a+ b)2

Exercise 13 (C) | Q 10 | Page 159

Factorise: 4(2a + b)2 - (a - b)2

Exercise 13 (C) | Q 11 | Page 159

Factorise: 25(2x + y)2 - 16(x - y)2

Exercise 13 (C) | Q 12 | Page 159

Factorise: 49(x - y)2 -9(2x + y)2

Exercise 13 (C) | Q 13 | Page 159

Factorise: (6 2/3)^2 - (2 1/3)^2

Exercise 13 (C) | Q 14 | Page 159

Factorise: (7 3/10)^2 - (2 1/10)^2

Exercise 13 (C) | Q 15 | Page 159

Factorise: (0·7)2 - (0·3)2

Exercise 13 (C) | Q 16 | Page 159

Factorise: (4.5)2 – (1.5)

Exercise 13 (C) | Q 17 | Page 159

Factorise: 75(x + y)2 - 48(x - y)2

Exercise 13 (C) | Q 18 | Page 159

Factorise:  a2 + 4a + 4 - b2

Exercise 13 (C) | Q 19 | Page 159

Factorise:  a2 - b2 - 2b - 1

Exercise 13 (C) | Q 20 | Page 159

factorise:  x2 + 6x + 9 - 4y

Exercise 13 (D) [Page 161]

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 13 FactorisationExercise 13 (D) [Page 161]

Exercise 13 (D) | Q 1 | Page 161

factorise: x2 + 6x + 8

Exercise 13 (D) | Q 2 | Page 161

factorise: x2 + 4x + 3

Exercise 13 (D) | Q 3 | Page 161

factorise: a2 +Sa+ 6

Exercise 13 (D) | Q 4 | Page 161

factorise: a2 - 5a+ 6

Exercise 13 (D) | Q 5 | Page 161

factorise: a2 +5a - 6

Exercise 13 (D) | Q 6 | Page 161

factorise: x2 + 5xy + 4y2

Exercise 13 (D) | Q 7 | Page 161

factorise: a2 - 3a- 40

Exercise 13 (D) | Q 8 | Page 161

factorise: x2 - x - 72

Exercise 13 (D) | Q 9 | Page 161

factorise:  x2 - 10xy + 24y2

Exercise 13 (D) | Q 10 | Page 161

factorise: 2a2 + 7a + 6

Exercise 13 (D) | Q 11 | Page 161

factorise: 3a2 - 5a + 2

Exercise 13 (D) | Q 12 | Page 161

factorise: 7b2 - 5b+ 1

Exercise 13 (D) | Q 13 | Page 161

factorise: 2a2 - 17ab + 26b2

Exercise 13 (D) | Q 14 | Page 161

factorise: 2x2 + xy - 6y2

Exercise 13 (D) | Q 15 | Page 161

factorise: 4c2 + 3c - 10

Exercise 13 (D) | Q 16 | Page 161

factorise: 14x2 + x - 3

Exercise 13 (D) | Q 17 | Page 161

factorise: 6 + 7b - 3b2

Exercise 13 (D) | Q 18 | Page 161

factorise: 5 + 7x - 6x2

Exercise 13 (D) | Q 19 | Page 161

factorise: 4 + y - 14y2

Exercise 13 (D) | Q 20 | Page 161

factorise: 5 + 3a - 14a2

Exercise 13 (D) | Q 21 | Page 161

factorise: (2a + b)2 + 5(2a + b) + 6

Exercise 13 (D) | Q 22 | Page 161

factorise: 1 - (2x + 3y) - 6(2x + 3y)2

Exercise 13 (D) | Q 23 | Page 161

factorise: (x - 2y)2 - 12(x - 2y) + 32

Exercise 13 (D) | Q 24 | Page 161

factorise: 8 + 6(a + b) - 5(a + b)2

Exercise 13 (D) | Q 25 | Page 161

Factorise : 2(x + 2y)2 - 5(x + 2y) + 2

Exercise 13 (E) [Page 162]

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 13 FactorisationExercise 13 (E) [Page 162]

Exercise 13 (E) | Q 1.1 | Page 162

In the case find whether the trinomial is a perfect square or not:

x2 + 14x + 49

Exercise 13 (E) | Q 1.2 | Page 162

In the case find whether the trinomial is a perfect square or not:

a2 - 10a + 25

Exercise 13 (E) | Q 1.3 | Page 162

In the case find whether the trinomial is a perfect square or not:

4x2 + 4x + 1

Exercise 13 (E) | Q 1.4 | Page 162

In the case find whether the trinomial is a perfect square or not:

9b2 + 12b + 16

Exercise 13 (E) | Q 1.5 | Page 162

In the case find whether the trinomial is a perfect square or not:

16x2 - 16xy + y2

Exercise 13 (E) | Q 1.6 | Page 162

In the case find whether the trinomial is a perfect square or not:

x2 - 4x + 16

Exercise 13 (E) | Q 2 | Page 162

Factorise completely: 2 - 8x

Exercise 13 (E) | Q 3 | Page 162

Factorise completely: 8x2y - 18y3

Exercise 13 (E) | Q 4 | Page 162

Factorise completely: ax2 - ay2

Exercise 13 (E) | Q 5 | Page 162

Factorise completely: 25x3 - x

Exercise 13 (E) | Q 6 | Page 162

Factorise completely:  a4 - b4

Exercise 13 (E) | Q 7 | Page 162

Factorise completely: 16x4 - 81y4

Exercise 13 (E) | Q 8 | Page 162

Factorise completely: 625 - x4

Exercise 13 (E) | Q 9 | Page 162

Factorise completely: x2 - y2 - 3x - 3y

Exercise 13 (E) | Q 10 | Page 162

Factorise completely: x2 - y2 - 2x + 2y

Exercise 13 (E) | Q 11 | Page 162

Factorise completely: 3x2 + 15x - 72

Exercise 13 (E) | Q 12 | Page 162

Factorise completely: 2a2 - 8a - 64

Exercise 13 (E) | Q 13 | Page 162

Factorise completely: 5b2 + 45b + 90

Exercise 13 (E) | Q 14 | Page 162

Factorise completely: 3x2y + 11xy + 6y

Exercise 13 (E) | Q 15 | Page 162

Factorise completely: 5ap2 + 11ap + 2a

Exercise 13 (E) | Q 16 | Page 162

Factorise completely: a2 + 2ab + b2 - c2

Exercise 13 (E) | Q 17 | Page 162

Factorise completely: x2 + 6xy + 9y2 + x + 3y

Exercise 13 (E) | Q 18 | Page 162

Factorise completely: 4a2 -12ab + 9b2 + 4a- 6b

Exercise 13 (E) | Q 19 | Page 162

Factorise completely:   2a2b2 - 98b4

Exercise 13 (E) | Q 20 | Page 162

Factorise completely: a2 -16b2 - 2a - 8b

Exercise 13 (F) [Page 163]

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 13 FactorisationExercise 13 (F) [Page 163]

Exercise 13 (F) | Q 1.1 | Page 163

factorise :  6x3 - 8x2

Exercise 13 (F) | Q 1.2 | Page 163

factorise : 35a3b2c + 42ab2c2

Exercise 13 (F) | Q 1.3 | Page 163

factorise : 36x2y2 - 30x3y3 + 48x3y2

Exercise 13 (F) | Q 1.4 | Page 163

factorise :  8(2a + 3b)3 - 12(2a + 3b)2

Exercise 13 (F) | Q 1.5 | Page 163

factorise :   9a (x-2y)4 - 12a (x - 2y)3

Exercise 13 (F) | Q 2.1 | Page 163

factorise : a2 - ab - 3a + 3b

Exercise 13 (F) | Q 2.2 | Page 163

factorise : x2y - xy2 + 5x - 5y

Exercise 13 (F) | Q 2.3 | Page 163

factorise : a2 - ab (1 - b) - b3

Exercise 13 (F) | Q 2.4 | Page 163

factorise : xy2 + (x - 1) y - 1

Exercise 13 (F) | Q 2.5 | Page 163

factorise : (ac + by)2 + (bx - ay)2

Exercise 13 (F) | Q 2.6 | Page 163

factorise : ab(x2 + y2) - xy (a2 + b2

Exercise 13 (F) | Q 2.7 | Page 163

factorise : m - 1 - (m-1)2 + am - a

Exercise 13 (F) | Q 3.1 | Page 163

factorise : a2 - (b - c)2

Exercise 13 (F) | Q 3.2 | Page 163

factorise : 25(2x - y)2 - 16(x - 2y)2

Exercise 13 (F) | Q 3.3 | Page 163

factorise : 16(5x + 4)2 -9(3x - 2)2

Exercise 13 (F) | Q 3.4 | Page 163

factorise: 9x2 - 1/16

Exercise 13 (F) | Q 3.5 | Page 163

factorise:  25(x - 2y)2 - 4

Exercise 13 (F) | Q 4.1 | Page 163

factorise:  a2 - 23a + 42

Exercise 13 (F) | Q 4.2 | Page 163

factorise: a2 - 23a -108

Exercise 13 (F) | Q 4.3 | Page 163

factorise: 1 - 18x - 63x2

Exercise 13 (F) | Q 4.4 | Page 163

factorise: 5x2 - 4xy - 12y2

Exercise 13 (F) | Q 4.5 | Page 163

factorise:  x(3x + 14) + 8

Exercise 13 (F) | Q 4.6 | Page 163

factorise: 5 - 4x(1 + 3x)

Exercise 13 (F) | Q 4.7 | Page 163

factorise: x2y2 - 3xy - 40

Exercise 13 (F) | Q 4.8 | Page 163

factorise: (3x - 2y)2 - 5(3x - 2y) - 24

Exercise 13 (F) | Q 4.9 | Page 163

factorise: 12(a + b)2 - (a+ b) - 35

Exercise 13 (F) | Q 5.1 | Page 163

factorise: 15(5x - 4)2 - 10(5x - 4)

Exercise 13 (F) | Q 5.2 | Page 163

factorise: 3a2x - bx + 3a2 - b

Exercise 13 (F) | Q 5.3 | Page 163

factorise: b(c - d)2 + a(d - c) + 3(c - d)

Exercise 13 (F) | Q 5.4 | Page 163

factorise: ax2 + b2y - ab2 - x2

Exercise 13 (F) | Q 5.5 | Page 163

factorise: 1 - 3x - 3y - 4(x + y)2

Exercise 13 (F) | Q 6.1 | Page 163

factorise:  2a3 - 50a

Exercise 13 (F) | Q 6.2 | Page 163

factorise:  54a2b2 - 6

Exercise 13 (F) | Q 6.3 | Page 163

factorise:  64a2b - 144b3

Exercise 13 (F) | Q 6.4 | Page 163

factorise:  (2x - y)3 - (2x - Y)

Exercise 13 (F) | Q 6.5 | Page 163

factorise:  x2 - 2xy + y2 - z2

Exercise 13 (F) | Q 6.6 | Page 163

factorise:  x2 - y2 - 2yz - z2

Exercise 13 (F) | Q 6.7 | Page 163

factorise:  7a5 - 567a

Exercise 13 (F) | Q 6.8 | Page 163

factorise:  5"x"^2 - (20"x"^4)/9

Exercise 13 (F) | Q 7.1 | Page 163

Factorise xy2 - xz2, Hence, find the value of :

9 x 82 - 9 x 22

Exercise 13 (F) | Q 7.2 | Page 163

Factorise xy2 - xz2, Hence, find the value of :

40 x 5.52 - 40 x 4.52

Exercise 13 (F) | Q 8.1 | Page 163

Factorise: (a - 3b)2 - 36 b2

Exercise 13 (F) | Q 8.2 | Page 163

Factorise: 25(a - 5b)2 - 4(a - 3b)2

Exercise 13 (F) | Q 8.3 | Page 163

Factorise: a2 - 0·36 b2

Exercise 13 (F) | Q 8.4 | Page 163

Factorise: a4 - 625

Exercise 13 (F) | Q 8.5 | Page 163

Factorise: x4 - 5x2 - 36

Exercise 13 (F) | Q 8.6 | Page 163

Factorise: 15(2x - y)2 - 16(2x - y) - 15

Exercise 13 (F) | Q 9 | Page 163

Factorise a2b - b3. Using this result, find the value of 1012 × 100 - 1003.

Exercise 13 (F) | Q 10 | Page 163

Evaluate (using factors) : 3012 x 300 - 3003

## Chapter 13: Factorisation

Exercise 13 (A)Exercise 13 (B)Exercise 13 (C)Exercise 13 (D)Exercise 13 (E)Exercise 13 (F)

## Selina solutions for Concise Mathematics Class 8 ICSE chapter 13 - Factorisation

Selina solutions for Concise Mathematics Class 8 ICSE chapter 13 (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 CISCE Concise Mathematics Class 8 ICSE solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Concise Mathematics Class 8 ICSE chapter 13 Factorisation are Factorisation by Taking Out Common Factors, Factorisation by Difference of Two Squares, Factorisation of Trinomials, Factorising a Perfect Square Trinomial, Factorising Completely, Factorisation by Grouping, Factorisation by Taking Out Common Factors.

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