Factorise: a^2-b^2+2 b c-c^2 - Vidyadip

Question

Factorise:
$a^2-b^2+2 b c-c^2$

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Answer

$a^2-b^2+2 b c-c^2$
$=a^2-\left(b^2-2 b c+c^2\right)$
$=a^2-(b-c)^2$
$=[a-(b-c)][a+(b-c)]$
$=(a-b+c)(a+b-c)$

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