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Question
Multiply:
(7x + y) by (x + 5y)
Solution
To multiply, we will use distributive law as follows:
\[\left( 7x + y \right)\left( x + 5y \right)\]
\[ = 7x\left( x + 5y \right) + y\left( x + 5y \right)\]
\[ = 7 x^2 + 35xy + xy + 5 y^2 \]
\[ = 7 x^2 + 36xy + 5 y^2\]
Thus, the answer is \[7 x^2 + 36xy + 5 y^2\].
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