Factorize:
$(x^{2} - 2 x y + y^{2}) - z^{2}$ .

(x - y + z) (x - y - z)

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(x + y + z) (x + y - z)

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(x - y - z) (x - y + z)

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(y + z) (x - y - z)

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Solution

The correct option is A $(x - y + z) (x - y - z)$
$(x^{2} - 2 x y + y^{2}) - z^{2}$
Using, $(a - b)^{2} = a^{2} + b^{2} - 2 a b$
$= (x - y)^{2} - z^{2}$
Using, $a^{2} - b^{2} = (a + b) (a - b)$
$= (x - y + z) (x - y - z)$

Suggest Corrections

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