Question:
Multiply:
(2x2y2 − 5xy2) by (x2 − y2)
Solution:
To multiply, we will use distributive law as follows:
(2x2y2 − 5xy2) by (x2 − y2)
$\left(2 x^{2} y^{2}-5 x y^{2}\right)\left(x^{2}-y^{2}\right)$
$=2 x^{2} y^{2}\left(x^{2}-y^{2}\right)-5 x y^{2}\left(x^{2}-y^{2}\right)$
$=2 x^{4} y^{2}-2 x^{2} y^{4}-5 x^{3} y^{2}+5 x y^{4}$
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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