Q21 of 274 Page 76

Factorize:

(a + b)3 – (a – b)3

We know that,


a3 - b3 = (a - b) (a2 + a × b + b2)


Using this formula, we get


= [a + b – (a – b)] [(a + b)2 + (a + b) (a – b) + (a – b)2]


= (a + b – a + b) [a2 + b2 + 2ab + a2 – b2 + a2 + b2 – 2ab]


= 2b (3a2 + b2)


More from this chapter

All 274 →
19

Factorize:

(a + b)3 – 8

 20

Factorize:

x6 – 729

 22

Factorize:

x6 – 729

 23

Factorize:

32x4 – 500x