Question

Factorise the expression and divide them as directed.

5pq(p² − q²) ÷ 2p(p + q)

Answer 1

5pq (p² − q²) ÷ 2p (p + q)

= `(5pq(p^2−q^2))/(2p(p+q))` 

= `(5pq(p−q)(p+q))/(2p(p+q))`      ...[x² + (a + b) x + ab = (x + a)(x + b)]

= `5/2q(p − q)`