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