Question:
Factorize:
$a(a-2 b-c)+2 b c$
Solution:
We have:
$a(a-2 b-c)+2 b c=a^{2}-2 a b-a c+2 b c$
$=\left(a^{2}-2 a b\right)-(a c-2 b c)$
$=a(a-2 b)-c(a-2 b)$
$=(a-2 b)(a-c)$
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