Find the product. Simplify your answer. 4c^2(3c^2 - 4) ______

Distribute 4c^2: Distribute 4c^2 to both terms in the binomial (3c^2 - 4). 4c^2(3c^2 - 4) = 4c^2 * 3c^2 - 4c^2 * 4Multiply 4c^2 by 3c^2: Multiply 4c^2 by 3c^2. 4c^2 * 3c^2 = 12c^(2+2) = 12c^4Multiply 4c^2 by -4: Multiply 4c^2 by -4. 4c^2 * -4 = -16c^2Combine results: Combine the results from Step 2 and Step 3. 4c^2(3c^2 - 4) = 12c^4 - 16c^2

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

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Math Problems

Algebra 1

Multiply a polynomial by a monomial

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Q. Find the product. Simplify your answer.

\newline

4c^2(3c^2 - 4)

Distribute $4c^2$ : Distribute $4c^2$ to both terms in the binomial $(3c^2 - 4)$ . $4c^2(3c^2 - 4) = 4c^2 \times 3c^2 - 4c^2 \times 4$
Multiply $4c^2$ by $3c^2$ : Multiply $4c^2$ by $3c^2$ . $4c^2 \times 3c^2 = 12c^{(2+2)} = 12c^4$
Multiply $4c^2$ by $-4$ : Multiply $4c^2$ by $-4$ . $\newline$ $4c^2 \times -4 = -16c^2$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $4c^2(3c^2 - 4) = 12c^4 - 16c^2$