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Question
Multiply:
(5x + 3) by (7x + 2)
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Solution
To multiply, we will use distributive law as follows:
\[\left( 5x + 3 \right)\left( 7x + 2 \right)\]
\[ = 5x\left( 7x + 2 \right) + 3\left( 7x + 2 \right)\]
\[ = \left( 5x \times 7x + 5x \times 2 \right) + \left( 3 \times 7x + 3 \times 2 \right)\]
\[ = \left( 35 x^2 + 10x \right) + \left( 21x + 6 \right)\]
\[ = 35 x^2 + 10x + 21x + 6\]
\[ = 35 x^2 + 31x + 6\]
Thus, the answer is \[35 x^2 + 31x + 6\] .
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