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Question
Multiply:
(3x2 + y2) by (2x2 + 3y2)
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Solution
To multiply, we will use distributive law as follows:
\[\left( 3 x^2 + y^2 \right)\left( 2 x^2 + 3 y^2 \right)\]
\[ = 3 x^2 \left( 2 x^2 + 3 y^2 \right) + y^2 \left( 2 x^2 + 3 y^2 \right)\]
\[ = 6 x^4 + 9 x^2 y^2 + 2 x^2 y^2 + 3 y^4 \]
\[ = 6 x^4 + 11 x^2 y^2 + 3 y^4\]
Thus, the answer is \[6 x^4 + 11 x^2 y^2 + 3 y^4\].
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