Question

Factorise: 8p3 + 125q3

Answer 1

8p3 + 125q3

= (2p)3 + (5q)3

= (2p + 5q)[(2p)2 - 2p 5q + (5q)2]

= (2p + 5q)(4p2 - 10pq + 25q2)