Factorize:
x3 – 125y3
We know that,
a3 - b3 = (a - b) (a2 + a × b + b2)
Using this formula, we get
= (x)3 – (5y)3
= (x – 5y) [(x)2 + x (5y) + (5y)2
= (x – 5y) (x2 + 5xy + 25y2)