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Find the product. Simplify your answer. $\newline$ $-4b^2(b^2 + 6)$

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

-4b^2(b^2 + 6)

Distribute $-4b^2$ : We need to distribute $-4b^2$ to both terms inside the parentheses: $b^2$ and $+6$ . $\newline$ $-4b^2(b^2 + 6) = -4b^2 \times b^2 + -4b^2 \times 6$
Simplify $-4b^2 \times b^2$ : Now, simplify $-4b^2 \times b^2$ . $\newline$ $-4b^2 \times b^2 = -4 \times b^2 \times b^2 = -4b^4$
Simplify $-4b^2 \times 6$ : Next, simplify $-4b^2 \times 6$ . $\newline$ $-4b^2 \times 6 = -24b^2$
Combine simplified terms: Combine the two simplified terms to get the final answer. $\newline$ $-4b^2(b^2 + 6) = -4b^4 - 24b^2$

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