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Find the product. Simplify your answer. $\newline$ $4q(3q^2 + 2)$

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

4q(3q^2 + 2)

Simplify First Term: Now, we simplify each term separately. $\newline$ First term: $4q \times 3q^2$ $\newline$ = $12q^3$ (since $4 \times 3 = 12$ and $q \times q^2 = q^3$ )
Simplify Second Term: Second term: $4q \times 2 = 8q$ (since $4 \times 2 = 8$ )
Combine Simplified Terms: Combine the simplified terms to get the final answer. $\newline$ $4q(3q^2 + 2) = 12q^3 + 8q$

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