Question

Factorise: 4p2− 8pq – 5q2

Answer 1

Step-by-step explanation:

$= 4 {p}^{2} - 8pq - 5 {q}^{2} \\ = 4 {p}^{2} - 10pq + 2pq- 5 {q}^{2} \\ = 2p(2p - 5q) + q(2p - 5q) \\ = (2p - 5q)(2p + q)$