Factorize:
1 + 64x3
We know that,
a3 + b3 = (a + b) (a2 – a × b + b2)
Using this formula, we get
= (1)3 + (4x)3
= (1 + 4x) [(1)2 – 1 (4x) + (4x)2]
= (1 + 4x) (1 – 4x + 16x2)