Question

factorise 8p^3-125q^3​

Answer 1

8p³ = (2p)³

125q³ = (5q)³

We know that,

(a³ - b³) = (a - b)(a² + ab + b²)

8p³ - 125q³ = (2p - 5q)[(2p)² + (2p)(5q) + (5q)²]

8p³ - 125q³ = (2p - 5q)(4p² + 10pq + 25q²)