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

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

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

**Factorise :**

**Question 1.**

15x + 5

**Solution:**

15x + 5 = 5(3x + 1)

**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:**

16 – 9x

^{2}= (4)

^{2}– (3x)

^{2}= (4 + 3x) (4 – 3x)

**Question 2.**

Factorise : 1 – 100a^{2}

**Solution:**

1 – 100a^{2} = (1)^{2} – (10a)^{2} = (1 + 10a) (1 – 10a)

**Question 3.**

Factorise : 4x^{2} – 81y^{2}

**Solution:**

4x^{2} – 81y^{2} = (2x)^{2} – (9y)^{2} = (2x + 9y) (2x – 9y)

**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:

= (x+4) (x+2)

**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:

= (a – 1)(3a – 2)

**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} x 100 – 100^{3}.

**Solution:**

**Question 10.**

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

**Solution:**