## Selina Concise Mathematics Class 8 ICSE Solutions Chapter 13 Factorisation

**Selina Publishers Concise Mathematics Class 8 ICSE Solutions Chapter 13 Factorisation**

### Factorisation Exercise 13A – Selina Concise Mathematics Class 8 ICSE Solutions

Factorise :

Question 1.

15x + 5

Solution:

Question 2.

Solution:

Question 3.

Solution:

Question 4.

Solution:

Question 5.

Solution:

Question 6.

Solution:

Question 7.

Solution:

Question 8.

Solution:

Question 9.

Solution:

Question 10.

Solution:

Question 11.

Solution:

Question 12.

Solution:

Question 13.

Solution:

Question 14.

Solution:

Question 15.

Solution:

Question 16.

Solution:

Question 17.

Solution:

### Factorisation Exercise 13B – Selina Concise Mathematics Class 8 ICSE Solutions

Question 1.

Factorise : a^{2} + ax + ab + bx

Solution:

Question 2.

Factorise : a^{2} – ab – ca + bc

Solution:

Question 3.

Factorise : ab – 2b + a^{2} – 2a

Solution:

Question 4.

Factorise : a^{3} – a^{2} + a – 1

Solution:

Question 5.

Factorise : 2a – 4b – xa + 2bx

Solution:

Question 6.

Solution:

Question 7.

Solution:

Question 8.

Solution:

Question 9.

Solution:

Question 10.

Solution:

Question 11.

Solution:

Question 12.

Solution:

Question 13.

Solution:

Question 14.

Solution:

Question 15.

Solution:

Question 16.

Solution:

Question 17.

Solution:

Question 18.

Solution:

Question 19.

Solution:

Question 20.

Solution:

### Factorisation Exercise 13C – Selina Concise Mathematics Class 8 ICSE Solutions

Note : a^{2} – b^{2} = (a + b) (a – b)

Question 1.

Factorise : 16 – 9x^{2}

Solution:

Question 2.

Factorise : 1 – 100a^{2}

Solution:

Question 3.

Factorise : 4x^{2} – 81y^{2}

Solution:

Question 4.

Solution:

Question 5.

Factorise : (a+2b)^{2} – a^{2}

Solution:

Question 6.

Solution:

Question 7.

Solution:

Question 8.

Solution:

Question 9.

Solution:

Question 10.

Solution:

Question 11.

Solution:

Question 12.

Solution:

Question 13.

Solution:

Question 14.

Evaluate :

Solution:

Question 15.

Evaluate :

(0.7)^{2} – (0.3)^{2}

Solution:

Question 16.

Evaluate :

(4.5)^{2} – (1.5)^{2}

Solution:

Question 17.

Solution:

Question 18.

Solution:

Question 19.

Solution:

Question 20.

Solution:

### Factorisation Exercise 13D – Selina Concise Mathematics Class 8 ICSE Solutions

Question 1.

Solution:

Question 2.

Solution:

Question 3.

Solution:

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Question 4.

Solution:

Question 5.

Solution:

Question 6.

Solution:

Question 7.

Solution:

Question 8.

Solution:

Question 9.

Solution:

Question 10.

Solution:

Question 11.

Solution:

Question 12.

Solution:

Question 13.

Solution:

Question 14.

Solution:

Question 15.

Solution:

Question 16.

Solution:

Question 17.

Solution:

Question 18.

Solution:

Question 19.

Solution:

Question 20.

Solution:

Question 21.

Solution:

Question 22.

Solution:

Question 23.

Solution:

Question 24.

Solution:

Question 25.

Solution:

### Factorisation Exercise 13E – Selina Concise Mathematics Class 8 ICSE Solutions

Question 1.

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

Solution:

Question 2.

Factorise completely 2 – 8x^{2}.

Solution:

Question 3.

Factorise completely : 8x^{2}y – 18y^{3}

Solution:

Question 4.

Factorise completely : ax^{2} – ay^{2}

Solution:

Question 5.

Factorise completely : 25x^{3} – x

Solution:

Question 6.

Factorise completely : a^{4} – b^{4}

Solution:

Question 7.

Factorise completely : 16x^{4} – 81y^{4}

Solution:

Question 8.

Factorise completely : 625 – x^{4}

Solution:

Question 9.

Factorise completely : x^{2} – y^{2} – 3x – 3y

Solution:

Question 10.

Factorise completely : x^{2} – y^{2} – 2x + 2y

Solution:

Question 11.

Factorise completely : 3x^{2} + 15x – 72

Solution:

Question 12.

Factorise completely : 2a^{2} – 8a – 64

Solution:

Question 13.

Factorise completely : 5b^{2} + 45b + 90

Solution:

Question 14.

Factorise completely : 3x^{2}y + 11xy + 6y

Solution:

Question 15.

Factorise completely : 5ap^{2} + 11ap + 2a

Solution:

Question 16.

Factorise completely : a^{2} + 2ab + b^{2} – c^{2}

Solution:

Question 17.

Factorise completely : x^{2} + 6xy + 9y^{2} + x + 3y

Solution:

Question 18.

Factorise completely : 4a^{2} – 12ab + 9b^{2} + 4a – 6b

Solution:

Question 19.

Factorise completely : 2a^{2}b^{2} – 98b^{4}

Solution:

Question 20.

Factorise completely : a^{2} – 16b^{2} – 2a – 8b

Solution:

### Factorisation Exercise 13F – Selina Concise Mathematics Class 8 ICSE Solutions

Question 1.

Factorise :

Solution:

Question 2.

Factorise :

Solution:

Question 3.

Factorise :

Solution:

Question 4.

Factorise :

Solution:

Question 5.

Factorise :

Solution:

Question 6.

Factorise :

Solution:

Question 7.

Factorise xy^{2} – xz^{2}, Hence, find the value of:

Solution:

Question 8.

Factorise :

Solution:

Question 9.

Factorise a^{2}b – b^{3} Using this result, find the value of 101^{2} × 100 – 100^{3}.

Solution:

Question 10.

Evaluate (using factors): 301^{2} × 300 – 300^{3}.

Solution: