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

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Multiply polynomials

Full solution

Q. Find the product. Simplify your answer.

\newline

-3b(-2b^2 + 3)

Apply Distributive Property: We need to apply the distributive property to multiply $-3b$ by each term in the expression $(-2b^2 + 3)$ . $-3b(-2b^2 + 3) = -3b(-2b^2) + -3b(3)$
Multiply $-3b$ by $-2b^2$ : Now we multiply $-3b$ by $-2b^2$ . $\newline$ $-3b(-2b^2) = 6b^3$
Multiply $-3b$ by $3$ : Next, we multiply $-3b$ by $3$ . $-3b(3) = -9b$
Combine Results: Combine the results from the previous steps to get the final simplified expression. $\newline$ $-3b(-2b^2 + 3) = 6b^3 - 9b$

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