Question
Factorise the following by taking out the common factors:$(a - b)^2 -2(a - b)$
✓
Answer
$(a-b)^2-2(a-b)$
Here, the common factor is ( $a-b)$.
Dividing throughout by ( $a-b)$,
we get
$\frac{(a-b)^2}{a-b}-\frac{2(a-b)}{a-b} $
$= a-b-2 $
$\therefore(a-b)^2-2(a-b) $
$=(a-b)(a-b-2) .$
Here, the common factor is ( $a-b)$.
Dividing throughout by ( $a-b)$,
we get
$\frac{(a-b)^2}{a-b}-\frac{2(a-b)}{a-b} $
$= a-b-2 $
$\therefore(a-b)^2-2(a-b) $
$=(a-b)(a-b-2) .$
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