Question

Factorise the following:
6 - 5x + 5y + (x - y)²

Answer 1

6 - 5x + 5y + (x - y)²
= 6 - 5(x - y) + (x - )²
= 6 - 3(x - y) - 2(x - y) + (x - y)²
= 3[2 - (x - y)] - (x - y)[2 - (x - y)]
= 3(2 - x + y) - (x - y)(2 - x + y)
= (2 - x + y)(3 - x + y).