Factorize :
$(x^{2} + 1) y - x^{2} - y^{2}$

(y) (x^{2} + y)

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

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

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

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Solution

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

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