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Question
Multiply:
(2x2y2 − 5xy2) by (x2 − y2)
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Solution
To multiply, we will use distributive law as follows:
\[\left( 2 x^2 y^2 - 5x y^2 \right)\left( x^2 - y^2 \right)\]
\[ = 2 x^2 y^2 \left( x^2 - y^2 \right) - 5x y^2 \left( x^2 - y^2 \right)\]
\[ = 2 x^4 y^2 - 2 x^2 y^4 - 5 x^3 y^2 + 5x y^4 \]
Thus, the answer is \[2 x^4 y^2 - 2 x^2 y^4 - 5 x^3 y^2 + 5x y^4\] .
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