Find the product. Simplify your answer. (2q + 2)(q + 4) ______

Distribute 2q: Now, we distribute 2q across the terms inside the parentheses. 2q(q + 4) = 2q * q + 2q * 4 = 2q^2 + 8qDistribute 2: Next, we distribute 2 across the terms inside the parentheses. 2(q + 4) = 2 * q + 2 * 4 = 2q + 8Combine Results: Now, we combine the results from the previous two steps. (2q + 2)(q + 4) = 2q^2 + 8q + 2q + 8Combine Like Terms: We combine like terms (8q and 2q) to simplify the expression. 2q^2 + 8q + 2q + 8 = 2q^2 + (8q + 2q) + 8 = 2q^2 + 10q + 8

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Find the product. Simplify your answer. $\newline$ $(2q + 2)(q + 4)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2q + 2)(q + 4)

Distribute $2q$ : Now, we distribute $2q$ across the terms inside the parentheses. $\newline$ $2q(q + 4) = 2q \times q + 2q \times 4$ $\newline$ $= 2q^2 + 8q$
Distribute $2$ : Next, we distribute $2$ across the terms inside the parentheses. $\newline$ $2(q + 4) = 2 \times q + 2 \times 4$ $\newline$ $= 2q + 8$
Combine Results: Now, we combine the results from the previous two steps. $\newline$ $(2q + 2)(q + 4) = 2q^2 + 8q + 2q + 8$
Combine Like Terms: We combine like terms $8q$ and $2q$ to simplify the expression. $2q^2 + 8q + 2q + 8 = 2q^2 + (8q + 2q) + 8$ $= 2q^2 + 10q + 8$