Find the product. Simplify your answer. (3b - 4)(3b + 3) ______

Apply Distributive Property: Apply the distributive property to multiply the two binomials. (3b - 4)(3b + 3) = 3b(3b + 3) - 4(3b + 3)Multiply 3b by Binomial: Multiply 3b by each term in the binomial (3b + 3). 3b(3b + 3) = 3b(3b) + 3b(3) = 9b^2 + 9bMultiply -4 by Binomial: Multiply -4 by each term in the binomial (3b + 3). -4(3b + 3) = -4(3b) - 4(3) = -12b - 12Combine Results: Combine the results from Step 2 and Step 3. (3b - 4)(3b + 3) = 9b^2 + 9b - 12b - 12Combine Like Terms: Combine like terms. 9b^2 + 9b - 12b - 12 = 9b^2 - 3b - 12

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Find the product. Simplify your answer. $\newline$ $(3b - 4)(3b + 3)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(3b - 4)(3b + 3)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ $(3b - 4)(3b + 3) = 3b(3b + 3) - 4(3b + 3)$
Multiply $3b$ by Binomial: Multiply $3b$ by each term in the binomial $(3b + 3)$ . $3b(3b + 3) = 3b(3b) + 3b(3) = 9b^2 + 9b$
Multiply $-4$ by Binomial: Multiply $-4$ by each term in the binomial $(3b + 3)$ . $-4(3b + 3) = -4(3b) - 4(3) = -12b - 12$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(3b - 4)(3b + 3) = 9b^2 + 9b - 12b - 12$
Combine Like Terms: Combine like terms. $\newline$ $9b^2 + 9b - 12b - 12 = 9b^2 - 3b - 12$