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Difference of Two Squares

Factorize eac...

Question

Factorize each of the following expressions:

$x^{2} + x y + x z + y z$

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Solution

Given: $x^{2} + x y + x z + y z$

$∴ x^{2} + x y + x z + y z$
$= x (x + y) + z (x + y)$
$= (x + y) (x + z)$

Hence, $x^{2} + x y + x z + y z = (x + y) (x + z) .$

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Difference of Two Squares

Standard IX Mathematics

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