Question
Factorise the following using the identity $a^2- b^2= (a + b)(a - b).$
$ (a - b)^2 - (b - c)^2$

Answer

$(a - b)^2 - (b - c)^2$
$= (a - b + b - c)(a - b - b + c)(a - c)(a - 2b + c)$

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