Factorize:
x3 + 512
We know that,
a3 + b3 = (a + b) (a2 – a × b + b2)
Using this formula, we get
= (x)3 – (8)3
= (x - 8) [(x)2 + x (8) + (8)2]
= (x – 8) (x2 + 8x + 64)