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Question
Factorise the following by taking out the common factors:
(a - b)2 -2(a - b)
Solution
(a - b)2 -2(a - b)
Here, the common factor is (a - b).
Dividing throughout by (a - b), we get
`("a" - "b")^2/("a" - "b") - (2("a" - "b"))/("a" - "b")`
= a - b - 2
∴ (a - b)2 - 2(a - b)
= (a - b)(a - b - 2).
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