Question
Factorise the following:$b^2 - 2bc + c^2 - a^2$

Answer

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

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