Factorize the expression:
$$ (a^2+b^2-c^2)^2-4a^2b^2 $$

Question

Factorize the expression: 
$$ (a^2+b^2-c^2)^2-4a^2b^2 $$

Uniteasy Admin · Accepted Answer

$$ (a^2+b^2-c^2)^2-4a^2b^2 $$
$$ =(a^2+b^2-c^2+2ab)(a^2+b^2-c^2-2ab) $$
$$ =\big[ (a+b)^2-c^2\big] \big[ (a-b)^2-c^2\big] $$
$$ =(a+b+c)(a+b-c)(a-b+c)(a-b-c) $$

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