Subtract :
$- x^{2} + y^{2} - x^{2} y + 5 x y^{2}$ from $x^{2} + x^{2} y - 5 x y^{2} - y^{2}$

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Solution

We have to subtract $- x^{2} + y^{2} - x^{2} y + 5 x y^{2}$ from $x^{2} + x^{2} y - 5 x y^{2} - y^{2}$
$x^{2} + x^{2} y - 5 x y^{2} - y^{2} - (- x^{2} + y^{2} - x^{2} y + 5 x y^{2}$ )
$= x^{2} + x^{2} y - 5 x y^{2} - y^{2} + x^{2} - y^{2} + x^{2} y - 5 x y^{2}$
$= x^{2} + x^{2} - y^{2} - y^{2} + x^{2} y + x^{2} y - 5 x y^{2} - 5 x y^{2}$
$= 2 x^{2} - 2 y^{2} + 2 x^{2} y - 10 x y^{2}$

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