Multiply: (2 x^2 y^2-5 x y^2 ) by (x^2-y^2 ) - Vidyadip

Question

Multiply:
$\left(2 x^2 y^2-5 x y^2\right) \text { by }\left(x^2-y^2\right)$

✓

Answer

To multiply, we will use distributive law as follows:
$\left(2 x^2 y^2-5 x y^2\right)\left(x^2-y^2\right)$
$=2 x^2 y^2\left(x^2-y^2\right)-5 x y^2\left(x^2-y^2\right)$
$=2 x^4 y^2-2 x^2 y^4-5 x^3 y^2+5 x y^4$
Thus, the answer is $2 x^4 y^2-2 x^2 y^4-5 x^3 y^2+5 x y^4$.

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