State whether True or False
Factorization of $x^{2} - 2 x y + y^{2} - z^{2}$ is $(x - y + z) (x - y - z)$

True

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False

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Solution

The correct option is A True
$F a c t o r i z i n g x^{2} - 2 x y + y^{2} - z^{2}, x^{2} - 2 x y + y^{2} = (x - y)^{2} = (x - y)^{2} - z^{2} = (x - y + z) (x - y - z)$

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