Factorize the following expression
$x y - x z + a y - a z$

(y - z) (x + a)

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(y + z) (x + a)

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(y - z) (x - a)

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None of these

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Solution

The correct option is A $(y - z) (x + a)$
$x y - x z + a y - a z$

$x$ common $|$ $a$ common

$= x (y - z) + a (y - z)$

Taking $(y - z)$ as common

$= (y - z) (x + a)$

Suggest Corrections

Similar questions

(a^{2} + b^{2} + c^{2} - b c - c a - a b) (x^{2} + y^{2} + z^{2}

- y z - z x - x y)

= (X^{2} + Y^{2} + Z^{2} - Y Z - Z X - X Y)

When $7 x y + 5 y z - 3 z x$ , $4 y z + 9 z x - 4 y$ and $- 3 x z + 5 x - 2 x y$ are added, we get $5 x y + 9 y z + 3 z x + 5 x - 4 y$ .

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

Find the value of $A + B + C$ if :

$A = (7 x y + 5 y z - 3 z x)$
$B = (4 y z + 9 z x - 4 y)$
$C = (- 3 x z + 5 x - 2 x y)$

x y - [y z - z x - y x - (3 y - x z) - (x - y - 2 y)] .

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