What must be added to $(x^{2} + x y - y^{2})$ to get $x y$ ?

y^{2} x^{2}

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y^{2} + x^{2}

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- y^{2} + x^{2}

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y^{2} - x^{2}

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Solution

The correct option is D $y^{2} - x^{2}$
First number = $(x^{2} + x y - y^{2})$

Second number = $x y$

Required number will be = $x y - (x^{2} + x y - y^{2})$
$= x y - x^{2} - x y + y^{2}$
$= y^{2} - x^{2}$

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