Question

Factorize (a+b)³ -8 using identity a³- b³

Answer 1

(a+b) ³-2³
(a+b-2) {(a+b) ²+2²+(a+b)2}
(a+b-2) (a²+b²+2ab+4+2a+2b)
Hope it's correct....

Answer 2

(a +b)³ - (2)³

Let is take a + b = x

so x³ - 2³ = (x - 2) (x² + 2² + 2x)

Now we will put the values of x

(a+b)³ - 2³ = (a + b - 2) [(a+b)² + 2a + 2b + 4}

                 = (a + b - 2) (a² + 2ab + b² + 2a + 2b + 4)