Question

Factorise the following expression.

p² + 6p + 8

Answer 1

p² + 6p + 8

It can be observed that 8 = 4 × 2 and 4 + 2 = 6

= p² + (4 + 2) p + 4 × 2

= p² + 4p + 2p + 4 × 2

= p (p + 4) + 2 (p + 4)

= (p + 4) (p + 2)