Find the product. Simplify your answer. -5(-2r^2 + 5) ______

Distribute -5: We need to distribute -5 to both terms inside the parentheses: -2r^2 and +5. -5(-2r^2 + 5) = -5 * -2r^2 + -5 * 5Simplify terms: Now we simplify each term separately. First term: -5 * -2r^2 = 10r^2 (Multiplying two negative numbers gives a positive result) Second term: -5 * 5 = -25 (Multiplying a negative by a positive gives a negative result)Combine for final answer: Combine the simplified terms to get the final answer. 10r^2 - 25

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

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Math Problems

Algebra 1

Multiply a polynomial by a monomial

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Q. Find the product. Simplify your answer.

\newline

-5(-2r^2 + 5)

Distribute $-5$ : We need to distribute $-5$ to both terms inside the parentheses: $-2r^2$ and $+5$ . $\newline$ $-5(-2r^2 + 5) = -5 \times -2r^2 + -5 \times 5$
Simplify terms: Now we simplify each term separately. $\newline$ First term: $-5 \times -2r^2 = 10r^2$ (Multiplying two negative numbers gives a positive result) $\newline$ Second term: $-5 \times 5 = -25$ (Multiplying a negative by a positive gives a negative result)
Combine for final answer: Combine the simplified terms to get the final answer. $10r^2 - 25$