Factorize of the following expressions: a(a+b-c)-b c - Vidyadip

Question

Factorize of the following expressions:
$a(a+b-c)-b c$

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Answer

$a(a+b-c)-b c=a^2+a b-a c-b c$
$=\left(a^2-a c\right)+(a b-b c)$
$=a(a-c)+b(a-c)$
$=(a+b)(a-c)[$ taking $(a-c)$ as the common factor]

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