# Frank solutions for Class 9 Maths ICSE chapter 5 - Factorisation [Latest edition]

## Chapter 5: Factorisation

Exercise 5.1Exercise 5.2Exercise 5.3
Exercise 5.1

### Frank solutions for Class 9 Maths ICSE Chapter 5 Factorisation Exercise 5.1

Exercise 5.1 | Q 1.01

Factorise the following by taking out the common factors:
4x2y3 - 6x3y2 - 12xy2

Exercise 5.1 | Q 1.02

Factorise the following by taking out the common factors:
5a(x2 - y2) + 35b(x2 - y2)

Exercise 5.1 | Q 1.03

Factorise the following by taking out the common factors:
2x5y + 8x3y2 - 12x2y3

Exercise 5.1 | Q 1.04

Factorise the following by taking out the common factors:
12a+ 15a2b - 21ab2

Exercise 5.1 | Q 1.05

Factorise the following by taking out the common factors:
24m4n6 + 56m6n4 - 72m2n2

Exercise 5.1 | Q 1.06

Factorise the following by taking out the common factors:
(a - b)2 -2(a - b)

Exercise 5.1 | Q 1.07

Factorise the following by taking out the common factors:
2a(p2 + q2) + 4b(p2 + q2)

Exercise 5.1 | Q 1.08

Factorise the following by taking out the common factors:
81(p + q)2 -9p - 9q

Exercise 5.1 | Q 1.09

Factorise the following by taking out the common factors:
(mx + ny)2 + (nx - my)2

Exercise 5.1 | Q 1.1

Factorise the following by taking out the common factors:
36(x + y)3 - 54(x + y)2

Exercise 5.1 | Q 1.11

Factorise the following by taking out the common factors:
p(p2 + q2 - r2) + q(r2 - q2 -p2) - r(p2 + q2 - r2)

Exercise 5.1 | Q 2.01

Factorise the following by grouping the terms:
15xy - 9x - 25y + 15

Exercise 5.1 | Q 2.02

Factorise the following by grouping the terms:
15x2 + 7y - 3x - 35xy

Exercise 5.1 | Q 2.03

Factorise the following by grouping the terms:
9 + 3xy + x2y + 3x

Exercise 5.1 | Q 2.04

Factorise the following by grouping the terms:
8(2a + b)2 - 8a -4b

Exercise 5.1 | Q 2.05

Factorise the following by grouping the terms:
x(x - 4)- x + 4

Exercise 5.1 | Q 2.06

Factorise the following by grouping the terms:
2m3 - 5n2 - 5m2n + 2mn

Exercise 5.1 | Q 2.07

Factorise the following by grouping the terms:
4abx2 + 49aby2 + 14xy(a2 + b2)

Exercise 5.1 | Q 2.08

Factorise the following by grouping the terms:
9x3 + 6x2y2 - 4y3 - 6xy

Exercise 5.1 | Q 2.09

Factorise the following by grouping the terms:
3ax2 - 5bx2 + 9az2 + 6ay2 - 10by2 - 15bz2

Exercise 5.1 | Q 2.1

Factorise the following by grouping the terms:
8x3 - 24x2y + 54xy2 -162y3

Exercise 5.1 | Q 2.11

Factorise the following by grouping the terms:
2a + b + 3c - d + (2a + b)3 + (2a + b)2(3c - d)

Exercise 5.1 | Q 2.12

Factorise the following by grouping the terms:
xy(a2 + 1) + a(x2 + y2)

Exercise 5.1 | Q 2.13

Factorise the following by grouping the terms:
p2x2 + (px2 + 1)x + p

Exercise 5.1 | Q 2.14

Factorise the following by grouping the terms:
x2 - (p + q)x + pq

Exercise 5.1 | Q 2.15

Factorise the following by grouping the terms:

"p"^2 + (1)/"p"^2 - 2 - 5"p" + (5)/"p"

Exercise 5.1 | Q 2.16

Factorise the following by grouping the terms:
x + y + m(x + y)

Exercise 5.1 | Q 2.17

Factorise the following by grouping the terms:

(1)/(25x^2) + 16x^2 + (8)/(5) - 12x - (3)/(5x)

Exercise 5.1 | Q 2.18

Factorise the following by grouping the terms:
2p(a2 - 2b2) -14p + (a2 - 2b2)2 - 7(a2 - 2b2)

Exercise 5.2

### Frank solutions for Class 9 Maths ICSE Chapter 5 Factorisation Exercise 5.2

Exercise 5.2 | Q 1.1

Factorise the following by splitting the middle term:
x2 + 6x + 8

Exercise 5.2 | Q 1.2

Factorise the following by splitting the middle term:
x2 - 11x + 24

Exercise 5.2 | Q 1.3

Factorise the following by splitting the middle term:
x2 + 5x - 6

Exercise 5.2 | Q 1.4

Factorise the following by splitting the middle term:
p2- 12p - 64

Exercise 5.2 | Q 1.5

Factorise the following by splitting the middle term:
y2 - 2y - 24

Exercise 5.2 | Q 1.6

Factorise the following by splitting the middle term:
3x2 + 19x - 14

Exercise 5.2 | Q 1.7

Factorise the following by splitting the middle term:
15a2 - 14a - 16

Exercise 5.2 | Q 1.8

Factorise the following by splitting the middle term:
12 + x - 6x2

Exercise 5.2 | Q 1.9

Factorise the following by splitting the middle term:
7x2 + 40x - 12

Exercise 5.2 | Q 2.1

Factorise the following:
5x2 - 17xy + 6y2

Exercise 5.2 | Q 2.2

Factorise the following:
9x2 - 22xy + 8y2

Exercise 5.2 | Q 2.3

Factorise the following:
2x3 + 5x2y - 12xy2

Exercise 5.2 | Q 2.4

Factorise the following:
x2y2 + 15xy - 16

Exercise 5.2 | Q 2.5

Factorise the following:
(2p + q)2 - 10p - 5q - 6

Exercise 5.2 | Q 2.6

Factorise the following:
y2 + 3y + 2 + by + 2b

Exercise 5.2 | Q 2.7

Factorise the following:
x3y3 - 8x2y2 + 15xy

Exercise 5.2 | Q 2.8

Factorise the following:
6sqrt(3)x^2 - 19x + 5sqrt(3)

Exercise 5.2 | Q 2.9

Factorise the following:
2sqrt(5)x^2 - 7x - 3sqrt(5)

Exercise 5.2 | Q 3.1

Factorise the following:
5(3x + y)2 + 6(3x + y) - 8

Exercise 5.2 | Q 3.2

Factorise the following:
5 - 4(a - b) - 12(a - b)2

Exercise 5.2 | Q 3.3

Factorise the following:
(3a - 2b)2 +3(3a - 2b) - 10

Exercise 5.2 | Q 3.4

Factorise the following:
(a2 - 2a)2 - 23(a2 - 2a) + 120

Exercise 5.2 | Q 3.5

Factorise the following:
(x + 4)2 - 5xy - 20y - 6y2

Exercise 5.2 | Q 3.6

Factorise the following:
7(x - 2)2 - 13(x - 2) - 2

Exercise 5.2 | Q 3.7

Factorise the following:
12 - (y + y2)(8 - y - y2)

Exercise 5.2 | Q 3.8

Factorise the following:
(p2 + p)2 - 8(p2 + p) + 12

Exercise 5.2 | Q 4.1

Factorise the following:
(y2 - 3y)(y2 - 3y + 7) + 10

Exercise 5.2 | Q 4.2

Factorise the following:
(t2 - t)(4t2 - 4t - 5) - 6

Exercise 5.2 | Q 4.3

Factorise the following:
12(2x - 3y)2 - 2x + 3y - 1

Exercise 5.2 | Q 4.4

Factorise the following:
6 - 5x + 5y + (x - y)2

Exercise 5.2 | Q 4.5

Factorise the following:

2x^2 + x/(6) - 1

Exercise 5.2 | Q 4.6

Factorise the following:
p4 + 23p2q2 + 90q4

Exercise 5.2 | Q 4.7

Factorise the following:
2a3 + 5a2b - 12ab2

Exercise 5.3

### Frank solutions for Class 9 Maths ICSE Chapter 5 Factorisation Exercise 5.3

Exercise 5.3 | Q 1.01

Factorise the following by the difference of two squares:
x2 - 16

Exercise 5.3 | Q 1.02

Factorise the following by the difference of two squares:
64x2 - 121y2

Exercise 5.3 | Q 1.03

Factorise the following by the difference of two squares:
441 - 81y2

Exercise 5.3 | Q 1.04

Factorise the following by the difference of two squares:
x6 - 196

Exercise 5.3 | Q 1.05

Factorise the following by the difference of two squares:
625 - b2

Exercise 5.3 | Q 1.06

Factorise the following by the difference of two squares:

"m"^2 - (1)/(9)"n"^2

Exercise 5.3 | Q 1.07

Factorise the following by the difference of two squares:
8xy2 - 18x3

Exercise 5.3 | Q 1.08

Factorise the following by the difference of two squares:
16a4 - 81b4

Exercise 5.3 | Q 1.09

Factorise the following by the difference of two squares:
a(a - 1) - b(b - 1)

Exercise 5.3 | Q 1.1

Factorise the following by the difference of two squares:
(x + y)2 -1

Exercise 5.3 | Q 1.11

Factorise the following by the difference of two squares:
x2 + y2 - z2 - 2xy

Exercise 5.3 | Q 1.12

Factorise the following by the difference of two squares:
(x - 2y)2 -z2

Exercise 5.3 | Q 2.01

Factorise the following:
9(a - b)2 - (a + b)2

Exercise 5.3 | Q 2.02

Factorise the following:
25(x - y)2 - 49(c - d)2

Exercise 5.3 | Q 2.03

Factorise the following:
(2a - b)2 -9(3c - d)2

Exercise 5.3 | Q 2.04

Factorise the following:
b2 - 2bc + c2 - a2

Exercise 5.3 | Q 2.05

Factorise the following:

x^2 + (1)/x^2 - 2

Exercise 5.3 | Q 2.06

Factorise the following:
(x2 + y2 - z2)2 - 4x2y2

Exercise 5.3 | Q 2.07

Factorise the following:
a2 + b2 - c2 - d2 + 2ab - 2cd

Exercise 5.3 | Q 2.08

Factorise the following:
4xy - x2 - 4y2 + z2

Exercise 5.3 | Q 2.09

Factorise the following:
4x2 - 12ax - y- z2 - 2yz + 9a2

Exercise 5.3 | Q 2.1

Factorise the following:
(x + y)3 - x - y

Exercise 5.3 | Q 2.11

Factorise the following:
y4 + y2 + 1

Exercise 5.3 | Q 2.12

Factorise the following:
(a2 - b2)(c2 - d2) - 4abcd

Exercise 5.3 | Q 3.1

Express each of the following as the difference of two squares:
(x2 - 2x + 3)(x2 + 2x + 3)

Exercise 5.3 | Q 3.2

Express each of the following as the difference of two squares:
(x2 - 2x + 3) (x2 - 2x - 3)

Exercise 5.3 | Q 3.3

Express each of the following as the difference of two squares:
(x2 + 2x - 3) (x2 - 2x + 3)

Exercise 5.3 | Q 4.1

Factorise:

y^2 + (1)/(4y^2) + 1 - 6y - (3)/y

Exercise 5.3 | Q 4.2

Factorise:

4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")

Exercise 5.3 | Q 4.3

Factorise:
x4 + y4 - 6x2y2

Exercise 5.3 | Q 4.4

Factorise:
4x4 + 25y4 + 19x2y2

Exercise 5.3 | Q 4.5

Factorise:

"p"^2 + (1)/"p"^2 - 3

Exercise 5.3 | Q 4.6

Factorise:
5x2 - y2 - 4xy + 3x - 3y

## Chapter 5: Factorisation

Exercise 5.1Exercise 5.2Exercise 5.3

## Frank solutions for Class 9 Maths ICSE chapter 5 - Factorisation

Frank solutions for Class 9 Maths ICSE chapter 5 (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 Class 9 Maths ICSE 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. Frank textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 9 Maths ICSE chapter 5 Factorisation are Factorisation by Taking Out Common Factors, Factorisation by Grouping, Method of Factorisation : Difference of Two Squares, Method of Factorisation : the Sum Or Difference of Two Cubes, Factorisation by Taking Out Common Factors, Factorisation of a Quadratic Trinomial by Splitting the Middle Term, Factorisation by Taking Out Common Factors.

Using Frank Class 9 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 Frank Solutions are important questions that can be asked in the final exam. Maximum students of CISCE Class 9 prefer Frank Textbook Solutions to score more in exam.

Get the free view of chapter 5 Factorisation Class 9 extra questions for Class 9 Maths ICSE and can use Shaalaa.com to keep it handy for your exam preparation