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Find the product. Simplify your answer. $\newline$ $5(-3n^2 - 5)$

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

5(-3n^2 - 5)

Distribute $5$ : Distribute the $5$ to both terms inside the parentheses. $5(-3n^2 - 5) = 5 \times (-3n^2) + 5 \times (-5)$
Multiply $-3n^2$ : Multiply $5$ by $-3n^2$ . $\newline$ $5 \times (-3n^2) = -15n^2$
Multiply $-5$ : Multiply $5$ by $-5$ . $\newline$ $5 \times (-5) = -25$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-15n^2 - 25$

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