Find the product. Simplify your answer. (3h - 2)(3h + 3) ______

Apply Distributive Property: Apply the distributive property to multiply the two binomials (3h - 2) and (3h + 3). (3h - 2)(3h + 3) = 3h(3h + 3) - 2(3h + 3)Multiply 3h by Binomial: Multiply 3h by each term in the binomial (3h + 3). 3h(3h + 3) = 3h(3h) + 3h(3) = 9h^2 + 9hMultiply -2 by Binomial: Multiply -2 by each term in the binomial (3h + 3). -2(3h + 3) = -2(3h) - 2(3) = -6h - 6Combine Results: Combine the results from Step 2 and Step 3 to get the final simplified product. (3h - 2)(3h + 3) = 9h^2 + 9h - 6h - 6Combine Like Terms: Combine like terms in the expression. 9h^2 + 9h - 6h - 6 = 9h^2 + (9h - 6h) - 6 = 9h^2 + 3h - 6

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(3h - 2)(3h + 3)

Apply Distributive Property: Apply the distributive property to multiply the two binomials $(3h - 2)$ and $(3h + 3)$ . $(3h - 2)(3h + 3) = 3h(3h + 3) - 2(3h + 3)$
Multiply $3h$ by Binomial: Multiply $3h$ by each term in the binomial $(3h + 3)$ . $3h(3h + 3) = 3h(3h) + 3h(3)$ $= 9h^2 + 9h$
Multiply $-2$ by Binomial: Multiply $-2$ by each term in the binomial $(3h + 3)$ . $-2(3h + 3) = -2(3h) - 2(3) = -6h - 6$
Combine Results: Combine the results from Step $2$ and Step $3$ to get the final simplified product. $\newline$ $(3h - 2)(3h + 3) = 9h^2 + 9h - 6h - 6$
Combine Like Terms: Combine like terms in the expression. $\newline$ $9h^2 + 9h - 6h - 6 = 9h^2 + (9h - 6h) - 6$ $\newline$ $= 9h^2 + 3h - 6$