Find the product. Simplify your answer. 5(3w^2 + 2) ______

Distribute 5: Distribute the 5 to both terms inside the parentheses. 5(3w^2 + 2) = 5 * 3w^2 + 5 * 2Multiply 5 by 3w^2: Multiply 5 by 3w^2. 5 * 3w^2 = 15w^2Multiply 5 by 2: Multiply 5 by 2. 5 * 2 = 10Combine results: Combine the results from Step 2 and Step 3. 15w^2 + 10

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

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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(3w^2 + 2)

Distribute $5$ : Distribute the $5$ to both terms inside the parentheses. $5(3w^2 + 2) = 5 \times 3w^2 + 5 \times 2$
Multiply $5$ by $3$ w^ $2$ : Multiply $5$ by $3w^2$ . $\newline$ $5 \times 3w^2 = 15w^2$
Multiply $5$ by $2$ : Multiply $5$ by $2$ . $\newline$ $5 \times 2 = 10$
Combine results: Combine the results from Step $2$ and Step $3$ . $15w^2 + 10$