Find the product. Simplify your answer. (3w - 2)(4w + 4) ______

Apply Distributive Property: Apply the distributive property to multiply the two binomials (3w - 2) and (4w + 4). (3w - 2)(4w + 4) = 3w(4w + 4) - 2(4w + 4)Distribute 3w: Distribute 3w across the terms inside the parentheses (4w + 4). 3w(4w + 4) = 3w * 4w + 3w * 4 = 12w^2 + 12wDistribute -2: Distribute -2 across the terms inside the parentheses (4w + 4). -2(4w + 4) = -2 * 4w - 2 * 4 = -8w - 8Combine Results: Combine the results from Step 2 and Step 3 to get the final simplified product. (3w - 2)(4w + 4) = 12w^2 + 12w - 8w - 8Combine Like Terms: Combine like terms (12w and -8w) to simplify the expression further. 12w^2 + 12w - 8w - 8 = 12w^2 + 4w - 8

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Find the product. Simplify your answer. $\newline$ $(3w - 2)(4w + 4)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(3w - 2)(4w + 4)

Apply Distributive Property: Apply the distributive property to multiply the two binomials $(3w - 2)$ and $(4w + 4)$ . $(3w - 2)(4w + 4) = 3w(4w + 4) - 2(4w + 4)$
Distribute $3w$ : Distribute $3w$ across the terms inside the parentheses $(4w + 4)$ . $\newline$ $3w(4w + 4) = 3w \times 4w + 3w \times 4$ $\newline$ $= 12w^2 + 12w$
Distribute $-2$ : Distribute $-2$ across the terms inside the parentheses $(4w + 4)$ . $-2(4w + 4) = -2 \times 4w - 2 \times 4 = -8w - 8$
Combine Results: Combine the results from Step $2$ and Step $3$ to get the final simplified product. $\newline$ $(3w - 2)(4w + 4) = 12w^2 + 12w - 8w - 8$
Combine Like Terms: Combine like terms $12w$ and $-8w$ to simplify the expression further. $12w^2 + 12w - 8w - 8 = 12w^2 + 4w - 8$