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

Apply Distributive Property: Apply the distributive property to multiply the two binomials (3q - 3) and (q + 4). (3q - 3)(q + 4) = 3q(q + 4) - 3(q + 4)Distribute 3q: Distribute 3q across the terms inside the parentheses (q + 4). 3q(q + 4) = 3q * q + 3q * 4 = 3q^2 + 12qDistribute -3: Distribute -3 across the terms inside the parentheses (q + 4). -3(q + 4) = -3 * q - 3 * 4 = -3q - 12Combine Results: Combine the results from Step 2 and Step 3. (3q - 3)(q + 4) = 3q^2 + 12q - 3q - 12Combine Like Terms: Combine like terms. 3q^2 + 12q - 3q - 12 = 3q^2 + (12q - 3q) - 12 = 3q^2 + 9q - 12

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(3q - 3)(q + 4)

Apply Distributive Property: Apply the distributive property to multiply the two binomials $(3q - 3)$ and $(q + 4)$ . $(3q - 3)(q + 4) = 3q(q + 4) - 3(q + 4)$
Distribute $3q$ : Distribute $3q$ across the terms inside the parentheses $(q + 4)$ . $\newline$ $3q(q + 4) = 3q \times q + 3q \times 4$ $\newline$ $= 3q^2 + 12q$
Distribute $-3$ : Distribute $-3$ across the terms inside the parentheses $(q + 4)$ . $\newline$ $-3(q + 4) = -3 \times q - 3 \times 4$ $\newline$ $= -3q - 12$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(3q - 3)(q + 4) = 3q^2 + 12q - 3q - 12$
Combine Like Terms: Combine like terms. $\newline$ $3q^2 + 12q - 3q - 12 = 3q^2 + (12q - 3q) - 12$ $\newline$ $= 3q^2 + 9q - 12$