Factorise: a(a+b-c)-b c - Vidyadip

Question

Factorise:
$a(a+b-c)-b c$

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Answer

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

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