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Find the product. Simplify your answer. $\newline$ $s^2(4s^2 - 3)$

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

s^2(4s^2 - 3)

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

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