Question

Factorise:

$3-5x+5y-12(x-y{)}^2$

Answer 1

$3-5x+5y-12(x-y{)}^{2}letx-y=a\Rightarrow 3-5x+5y-12(x-y{)}^2\Rightarrow 3-5a-12a^2\Rightarrow 3-9a+4a-12a^2\Rightarrow 3(1-3a)+4a(1-3a)\Rightarrow (1-3a)(3+4a)\Rightarrow (3+4x-4y)(1-3x+3y)$