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Find the product. Simplify your answer. $\newline$ $3a^2(a^2 - 8)$

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Multiply polynomials

Full solution

Q. Find the product. Simplify your answer.

\newline

3a^2(a^2 - 8)

Apply Distributive Property: Apply the distributive property to multiply $3a^2$ by each term inside the parentheses. $\newline$ $3a^2(a^2 - 8) = 3a^2 \times a^2 - 3a^2 \times 8$
Multiply $3a^2$ by $a^2$ : Multiply $3a^2$ by $a^2$ . $3a^2 \times a^2 = 3a^{(2+2)} = 3a^4$
Multiply $3a^2$ by $-8$ : Multiply $3a^2$ by $-8$ . $3a^2 \times -8 = -24a^2$
Combine Results: Combine the results from Step $2$ and Step $3$ to get the final simplified expression. $\newline$ $3a^2(a^2 - 8) = 3a^4 - 24a^2$

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