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

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Multiply polynomials

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Q. Find the product. Simplify your answer.

\newline

-3q^2(-3q^2 + q)

\newline

______

Distribute $-3q^2$ : Distribute $–3q^2$ to each term inside the parentheses. $\newline$ $–3q^2(–3q^2 + q) = –3q^2 \cdot (–3q^2) + (–3q^2) \cdot q$
Multiply $-3q^2$ by $-3q^2$ : Multiply $–3q^2$ by $–3q^2$ . $–3q^2 \times (–3q^2) = 9q^4$
Multiply $-3q^2$ by $q$ : Multiply $–3q^2$ by $q$ . $\newline$ $(–3q^2) \cdot q = –3q^3$
Combine the results: Combine the results from Step $2$ and Step $3$ . $\newline$ $9q^4 + (–3q^3) = 9q^4 – 3q^3$

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