Find the product. Simplify your answer. 2u^2(3u^2 - 2) ______

Distribute 2u^2: Distribute 2u^2 to both terms inside the parentheses. 2u^2(3u^2 - 2) = 2u^2 * 3u^2 - 2u^2 * 2Simplify 2u^2 * 3u^2: Simplify 2u^2 * 3u^2. 2u^2 * 3u^2 = 6u^(2+2) = 6u^4Simplify 2u^2 * 2: Simplify 2u^2 * 2. 2u^2 * 2 = 4u^2Combine simplified terms: Combine the simplified terms to get the final answer. 2u^2(3u^2 - 2) = 6u^4 - 4u^2

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

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Algebra 1

Multiply a polynomial by a monomial

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Q. Find the product. Simplify your answer.

\newline

2u^2(3u^2 - 2)

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