Question
Factorise:
$a-b-a^2+b^2$
$a-b-a^2+b^2$
✓
Answer
$a-b-a^2+b^2$
$=(a-b)-\left(a^2-b^2\right)$
$=(a-b)-(a-b)(a+b)\left[\therefore a^2-b^2=(a-b)(a+b)\right]$
$=(a-b)(1-a-b)$
$=(a-b)-\left(a^2-b^2\right)$
$=(a-b)-(a-b)(a+b)\left[\therefore a^2-b^2=(a-b)(a+b)\right]$
$=(a-b)(1-a-b)$
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