Factorize each of the following expressions:a3+3a2b3+3ab2+b3-8

Given,A3+3a2 b+3ab2+b3-8 = (a3 +3a2b +3ab2+b3) – 8= (a+b)3 -8= (a+b)3 – (2)3= (a+b -2) { (a+b)2 + (2)2 + 2(a+b) }= (a+b - 2) (a2+b2 + 2ab+4+2a+2b)

Q22 of 111 Page 5

Factorize each of the following expressions:
a³+3a²b³+3ab²+b³-8

Given,

A³+3a² b+3ab²+b³-8 = (a³ +3a²b +3ab²+b³) – 8

= (a+b)³ -8

= (a+b)³ – (2)³

= (a+b -2) { (a+b)² + (2)² + 2(a+b) }

= (a+b - 2) (a²+b² + 2ab+4+2a+2b)

Factorize each of the following expressions:

a³+b³+a+b

Factorize each of the following expressions:

a³--2a

Factorize each of the following expressions:

8a³-b³-4ax+2bx

Simplify

(i)

(ii)

(iii)