Find the product. Simplify your answer. (2q + 1)(3q - 3) ______

Distribute with 2q and +1: Distribute (3q - 3) with 2q and +1. (2q + 1)(3q - 3) = 2q(3q - 3) + 1(3q - 3)Simplify 2q(3q - 3): Simplify 2q(3q - 3). Multiply 2q to 3q and -3. 2q(3q - 3) = 2q(3q) + 2q(-3) = 6q^2 - 6qSimplify 1(3q - 3): Simplify 1(3q - 3). Multiply 1 to 3q and -3. 1(3q - 3) = 1(3q) + 1(-3) = 3q - 3Combine simplified forms: Combine the simplified forms of 2q(3q - 3) and 1(3q - 3). (2q + 1)(3q - 3) = 2q(3q - 3) + 1(3q - 3) = 6q^2 - 6q + 3q - 3Combine like terms: Combine like terms. 6q^2 - 6q + 3q - 3 = 6q^2 - 3q - 3

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Find the product. Simplify your answer. $\newline$ $(2q + 1)(3q - 3)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2q + 1)(3q - 3)

Distribute with $2q$ and $+1$ : Distribute $(3q - 3)$ with $2q$ and $+1$ . $\newline$ $(2q + 1)(3q - 3) = 2q(3q - 3) + 1(3q - 3)$
Simplify $2q(3q - 3)$ : Simplify $2q(3q - 3)$ . $\newline$ Multiply $2q$ to $3q$ and $-3$ . $\newline$ $2q(3q - 3) = 2q(3q) + 2q(-3) = 6q^2 - 6q$
Simplify $1(3q - 3)$ : Simplify $1(3q - 3)$ . $\newline$ Multiply $1$ to $3q$ and $-3$ . $\newline$ $1(3q - 3) = 1(3q) + 1(-3) = 3q - 3$
Combine simplified forms: Combine the simplified forms of $2q(3q - 3)$ and $1(3q - 3)$ .
$(2q + 1)(3q - 3) = 2q(3q - 3) + 1(3q - 3) = 6q^2 - 6q + 3q - 3$
Combine like terms: Combine like terms. $\newline$ $6q^2 - 6q + 3q - 3 = 6q^2 - 3q - 3$