We have: aa+b c bc=a2+ab ac bc nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; =a2 ac+ab bc=aa c+ba c=a ca+b ...

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Polynomials

Factorize:aa+...

Question

Factorize:
a(a + b − c) − bc

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Solution

We have:
$a (a + b - c) - b c = a^{2} + a b - a c - b c$
$= (a^{2} - a c) + (a b - b c) = a (a - c) + b (a - c) = (a - c) (a + b)$

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