NCERT Solutions For Class 8 Chapter 14,Factorisation, Exercise 14.2

Table of Contents

Class 8, Maths, Chapter 14, Exercise 14.2 Solutions

Q.1. Factorise the following expressions.

(i) a² + 8a + 16

(ii) p² –10p + 25

(iii) 25m² + 30m + 9

(iv) 49y² + 84yz + 36z²

(v) 4x² – 8x + 4

(vi) 121b² – 88bc + 16c²

(vii) (l + m)² – 4lm

(viii) a⁴ + 2a² b² + b⁴

Q.2. Factorise.

(i) 4p² – 9q²

(ii) 63a² – 112b²

(iii) 49x² – 36

(iv) 16x⁵ – 144x³

(v) (l + m)² – (l – m)²

(vi) 9x² y² –16

(vii) (x² – 2xy + y²) – z²

(viii) 25a² – 4b² + 28bc – 49c²

Q.3. Factorise the expressions.

Ans:

Q.4. Factorise.

(i) a⁴ – b⁴

(ii) p⁴ – 81

(iii) x⁴ – (y + z)⁴

(iv) x⁴ – (x – z)⁴

(v) a⁴ – 2a²b² + b⁴

Q.5. Factorise the following expressions.

(i) p² + 6p + 8

(ii) q² –10q + 21

(iii) p² + 6p–16