## ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 11 Factorisation Ex 11.3

Question 1.

Factorise the following expressions using algebraic identities:

(i) x^{2} – 12x + 36

(ii) 36p^{2} – 60pq + 25q^{2}

(iii) 9y^{2} + 66xy + 121y^{2}

(iv) a^{4} + 6a^{2}b^{2} + 9b^{4}

(v) x^{2} + \(\frac{1}{x^{2}}\) + 2

(vi) x^{2} + x + \(\frac{1}{4}\)

Solution:

**Factorise the following (2 to 13) expressions:
**Question 2.

(i) 4p

^{2}– 9

(ii) 4x

^{2}– 169y

^{2}

Solution:

Question 3.

(i) 9x^{2}y^{2} – 25

(ii) 16x^{2} – \(\frac{1}{144}\)

Solution:

Question 4.

(i) 20x^{2} – 45y^{2}

(ii) \(\frac{9}{16}\) – 25a^{2}b^{2}

Solution:

Question 5.

(i) (2a + 3b)^{2} – 16c^{2}

(ii) 1 – (b – c)^{2}

Solution:

Question 6.

(i) 9 (x + y)^{2} – x^{2}

(ii) (2m + 3n)^{2} – (3m + 2n)^{2}

Solution:

Question 7.

(i) 25 (a + b)^{2} – 16 (a – b)^{2}

(ii) 9 (3x + 2)^{2} – 4 (2x – 1)^{2}

Solution:

Question 8.

(i) x^{3} – 25x

(ii) 63p^{2}q^{2} – 7

Solution:

Question 9.

(i) 32a^{2}b – 72b^{3}

(ii) 9 (a + b)^{3} – 25 (a + b)

Solution:

Question 10.

(i) x^{2} – y^{2} – 2y – 1

(ii) p^{2}– 4pq + 4q^{2} – r^{2}

Solution:

Question 11.

(i) 9x^{2} – y^{2} + 4y – 4

(ii) 4a^{2} – 4b^{2} + 4a + 1

Solution:

Question 12.

(i) 625 – p^{4}

(ii) 5y^{5} – 405y

Solution:

Question 13.

(i) x^{4} – y^{4} + x^{2} – y^{2}

(ii) 64a^{2} – 9b^{2} + 42bc – 49c^{2}

Solution: