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Find the product. Simplify your answer. $\newline$ $8(-3b^2 + 4b)$

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Multiply polynomials

Full solution

Q. Find the product. Simplify your answer.

\newline

8(-3b^2 + 4b)

Apply Distributive Property: Apply the distributive property to multiply $8$ by each term inside the parentheses. $\newline$ $8(-3b^2 + 4b) = 8(-3b^2) + 8(4b)$
Multiply $-3b^2$ : Multiply $8$ by $-3b^2$ . $8(-3b^2) = -24b^2$
Multiply $4b$ : Multiply $8$ by $4b$ . $8(4b) = 32b$
Combine Results: Combine the results from Step $2$ and Step $3$ to get the final simplified expression. $\newline$ $-24b^2 + 32b$

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