Factorize:

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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