Question

Factorise 8 +6(p+q)-5(p+q)^2

Answer 1

let p+ q = x

- 5x^2 + 6x + 8

= - (5x^2 - 6x - 8)

= - ( 5x^2 - 10x + 4x - 8)

= - { 5x(x-2) + 4(x-2) }

= - (5x+4)(x-2)

= - {5(p+q) + 4}{(p+q) - 2}