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

Apply Distributive Property: Apply the distributive property to multiply the two binomials. We need to multiply each term in the first binomial by each term in the second binomial. (2x - 2)(4x + 2) = 2x(4x) + 2x(2) - 2(4x) - 2(2)Perform Multiplication: Perform the multiplication for each term. 2x(4x) = 8x^2 2x(2) = 4x -2(4x) = -8x -2(2) = -4 Now, combine these results. (2x - 2)(4x + 2) = 8x^2 + 4x - 8x - 4Combine Results: Combine like terms. Combine the terms with x to simplify the expression. 8x^2 + 4x - 8x - 4 = 8x^2 - 4x - 4

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2x - 2)(4x + 2)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ We need to multiply each term in the first binomial by each term in the second binomial. $\newline$ $(2x - 2)(4x + 2) = 2x(4x) + 2x(2) - 2(4x) - 2(2)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $2x(4x) = 8x^2$ $\newline$ $2x(2) = 4x$ $\newline$ $-2(4x) = -8x$ $\newline$ $-2(2) = -4$ $\newline$ Now, combine these results. $\newline$ $(2x - 2)(4x + 2) = 8x^2 + 4x - 8x - 4$
Combine Results: Combine like terms. $\newline$ Combine the terms with $x$ to simplify the expression. $\newline$ $8x^2 + 4x - 8x - 4 = 8x^2 - 4x - 4$