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

Identify Expression: Identify the expression after distributing 2a^2. Distribute 2a^2 to each term of (3a^2 + 3). 2a^2(3a^2 + 3) = 2a^2(3a^2) + 2a^2(3)Distribute 2a^2: Simplify 2a^2(3a^2). 2a^2(3a^2) = 6a^(2+2) = 6a^4Simplify 2a^2(3a^2): Simplify 2a^2(3). 2a^2(3) = 6a^2Simplify 2a^2(3): Combine the results from Step 2 and Step 3. 2a^2(3a^2 + 3) = 6a^4 + 6a^2

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

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Algebra 2

Add, subtract, multiply, and divide polynomials

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Q. Find the product. Simplify your answer.

\newline

2a^2(3a^2 + 3)

Identify Expression: Identify the expression after distributing $2a^2$ . Distribute $2a^2$ to each term of $(3a^2 + 3)$ . $2a^2(3a^2 + 3) = 2a^2(3a^2) + 2a^2(3)$
Distribute $2a^2$ : Simplify $2a^2(3a^2)$ . $2a^2(3a^2)$ = $6a^{(2+2)}$ = $6a^4$
Simplify $2a^2(3a^2)$ : Simplify $2a^2(3)$ . $\newline$ $2a^2(3) = 6a^2$
Simplify $2a^2(3)$ : Combine the results from Step $2$ and Step $3$ . $\newline$ $2a^2(3a^2 + 3) = 6a^4 + 6a^2$