Factorize:
8x3 + 27y3
We know that,
a3 + b3 = (a + b) (a2 – a × b + b2)
Using this formula, we get
= (2x)3 + (3y)3
= (2x + 3y) [(2x)2 – (2x) (3y) + (3y)2]
= (2x + 3y) (4x2 – 6xy + 9y2)