Find the product. Simplify your answer. -3k^2(-3k^2 + 8) ______

Distribute -3k^2: Distribute -3k^2 to both terms inside the parentheses. -3k^2(-3k^2 + 8) = -3k^2 * -3k^2 + -3k^2 * 8Simplify -3k^2 * -3k^2: Simplify -3k^2 * -3k^2. -3k^2 * -3k^2 = 9k^4 (Multiplying the coefficients and adding the exponents)Simplify -3k^2 * 8: Simplify -3k^2 * 8. -3k^2 * 8 = -24k^2 (Multiplying the coefficient -3 by 8 and keeping the k^2)Combine results: Combine the results from Step 2 and Step 3. The simplified form of -3k^2(-3k^2 + 8) is 9k^4 - 24k^2.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

Math Problems

Algebra 1

Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

-3k^2(-3k^2 + 8)

Distribute $-3k^2$ : Distribute $-3k^2$ to both terms inside the parentheses. $\newline$ $-3k^2(-3k^2 + 8) = -3k^2 \times -3k^2 + -3k^2 \times 8$
Simplify $-3k^2 \times -3k^2$ : Simplify $-3k^2 \times -3k^2$ . $\newline$ $-3k^2 \times -3k^2 = 9k^4$ (Multiplying the coefficients and adding the exponents)
Simplify $-3k^2 \times 8$ : Simplify $-3k^2 \times 8$ . $\newline$ $-3k^2 \times 8 = -24k^2$ (Multiplying the coefficient $-3$ by $8$ and keeping the $k^2$ )
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ The simplified form of $-3k^2(-3k^2 + 8)$ is $9k^4 - 24k^2$ .