Question
Factorise the following:$6 - 5x + 5y + (x - y)^2$
✓
Answer
$6 - 5x + 5y + (x - y)^2$
$= 6 - 5(x - y) + (x - )^2$
$= 6 - 3(x - y) - 2(x - y) + (x - y)^2$
$= 3[2 - (x - y)] - (x - y)[2 - (x - y)]$
$= 3(2 - x + y) - (x - y)(2 - x + y)$
$= (2 - x + y)(3 - x + y).$
$= 6 - 5(x - y) + (x - )^2$
$= 6 - 3(x - y) - 2(x - y) + (x - y)^2$
$= 3[2 - (x - y)] - (x - y)[2 - (x - y)]$
$= 3(2 - x + y) - (x - y)(2 - x + y)$
$= (2 - x + y)(3 - x + y).$
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