Q8 of 90 Page 33

Factorize :

27a3 – 8b3 – 54a2b + 36ab2

27a3 – 8b3 – 54a2b + 36ab2 = (3a)3 – (2b)3 – 3(3a)2(2b) + 3(3a)(2b)2

Using Identity:


(x – y)3 = x3 – y3 – 3x2y + 3y2x


27a3 – 8b3 – 54a2b + 36ab2 = (3a – 2b)3


More from this chapter

All 90 →
7

Find the value using the suitable identities.

(999)3

 8

Factorize :

x3 + 8y3 + 6x2y + 12xy2

 8

Factorize :

27 – 125x3 – 135x + 225x2

 8

Factorize :

125x3 – 64y3 – 300x2y + 240xy2