Factorisation of algebra

factorise completely p+q-(3p^2)+(3q^2)

Hi friend,

p + q - 3p^2 + 3q^2 =

p + q + 3(q^2-p^2) =

p + q + 3(q-p)(p+q) =

(p+q) (1 + 3(p-q) =

(p+q) (1 + 3p - 3q)

p+q-(3p^2)+(3q^2)
= p - (3p^2) + q+(3q^2)
= p (1-3) + q ( 1-3)
= ( 1-3) (p+q)