Q8 of 90 Page 33

Factorize :

125x3 – 64y3 – 300x2y + 240xy2

125x3 – 64y3 – 300x2y + 240xy2 = (5x)3 – (4y)3 – 3(5x)2(4y) + 3(5x)(4y)2

Using Identity:


(x – y)3 = x3 – y3 – 3x2y + 3y2x


125x3 – 64y3 – 300x2y + 240xy2 = (5x – 4y)3


More from this chapter

All 90 →
8

Factorize :

27a3 – 8b3 – 54a2b + 36ab2

 8

Factorize :

27 – 125x3 – 135x + 225x2

 9

Factorize:

(i) 64a3 + 27b3


(ii) 125x3 – 8y3

 10

Verify that:

x3 + y3 + z3 – 3xyz = 1/2 (x + y + z)[(x – y)2 + (y – z)2 + (z – x)2]