Multiply:
(5x + 3) by (7x + 2)

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Solution

To multiply, we will use distributive law as follows:

$(5 x + 3) (7 x + 2) = 5 x (7 x + 2) + 3 (7 x + 2) = (5 x \times 7 x + 5 x \times 2) + (3 \times 7 x + 3 \times 2) = (35 x^{2} + 10 x) + (21 x + 6) = 35 x^{2} + 10 x + 21 x + 6 = 35 x^{2} + 31 x + 6$

Thus, the answer is $35 x^{2} + 31 x + 6$ .

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