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

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

-2f(4f^2 + 6)

Distribute $-2f$ : Distribute $-2f$ to both terms inside the parentheses $(4f^2 + 6)$ . $\newline$ $-2f(4f^2 + 6) = -2f \times 4f^2 + -2f \times 6$
Simplify $-2f \times 4f^2$ : Simplify $-2f \times 4f^2$ . $-2f \times 4f^2 = -8f^3$
Simplify $-2f \times 6$ : Simplify $-2f \times 6$ . $\newline$ $-2f \times 6 = -12f$
Combine simplified terms: Combine the simplified terms to get the final answer. $-8f^3 - 12f$

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