Q19 of 274 Page 76

Factorize:

(a + b)3 – 8

(a + b)3 – (2)3


We know that,


a3 - b3 = (a - b) (a2+ a × b + b2)


Using this formula, we get


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


= (a + b – 2) [a2 + b2 + 2ab + 2 (a + b) + 4]


More from this chapter

All 274 →
17

Factorize:

 18

Factorize:

a3 – 0.064

 20

Factorize:

x6 – 729

 21

Factorize:

(a + b)3 – (a – b)3