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Find the product. Simplify your answer. $\newline$ $s^2(4s^2 - 8)$

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

s^2(4s^2 - 8)

Distribute $s^2$ : We need to distribute $s^2$ to both terms inside the parentheses: $4s^2$ and $-8$ . $\newline$ $s^2(4s^2 - 8) = s^2 \times 4s^2 - s^2 \times 8$
Simplify $4s^2$ : Simplify $s^2 \times 4s^2$ . $s^2 \times 4s^2 = 4s^{(2+2)} = 4s^4$
Simplify $8$ : Simplify $s^2 \times 8$ . $\newline$ $s^2 \times 8 = 8s^2$
Combine terms: Combine the simplified terms to get the final answer. $\newline$ $s^2(4s^2 - 8) = 4s^4 - 8s^2$

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