The correct option is B ( y 1 ) ( xy z^2 ) xy^2 yz^2 xy+z^2 = #160; xy^2 xy yz^2+z^2 = #160; xy ( y 1 ) z^2 ( y 1 ) = #160; ( xy ...

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Division of Polynomials

xy2-yz2-xy+z2...

Question

$x y^{2} - y z^{2} - x y + z^{2}$ =_____

(z - 1) (x y - z)

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(y - 1) (x y - z^{2})

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(x y - 1) (z^{2} - y)

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(y + 1) (x y - z^{2})

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Solution

The correct option is B $(y - 1) (x y - z^{2})$
$x y^{2} - y z^{2} - x y + z^{2}$
= $x y^{2} - x y - y z^{2} + z^{2}$
= $x y (y - 1) - z^{2} (y - 1)$
= $(x y - z^{2}) (y - 1)$

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