Find the product. Simplify your answer. (2d - 2)(4d + 1) ______

Apply Distributive Property: Apply the distributive property to multiply the two binomials (2d - 2) and (4d + 1). (2d - 2)(4d + 1) = 2d(4d + 1) - 2(4d + 1)Multiply 2d by Binomial: Multiply 2d by each term in the binomial (4d + 1). 2d(4d + 1) = 2d * 4d + 2d * 1 = 8d^2 + 2dMultiply -2 by Binomial: Multiply -2 by each term in the binomial (4d + 1). -2(4d + 1) = -2 * 4d - 2 * 1 = -8d - 2Combine Results: Combine the results from Step 2 and Step 3 to get the final simplified product. (2d - 2)(4d + 1) = 8d^2 + 2d - 8d - 2Combine Like Terms: Combine like terms in the expression. 8d^2 + 2d - 8d - 2 = 8d^2 - 6d - 2

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Find the product. Simplify your answer. $\newline$ $(2d - 2)(4d + 1)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2d - 2)(4d + 1)

Apply Distributive Property: Apply the distributive property to multiply the two binomials $(2d - 2)$ and $(4d + 1)$ . $(2d - 2)(4d + 1) = 2d(4d + 1) - 2(4d + 1)$
Multiply $2$ d by Binomial: Multiply $2d$ by each term in the binomial $(4d + 1)$ .
$2d(4d + 1) = 2d \times 4d + 2d \times 1$
$= 8d^2 + 2d$
Multiply $-2$ by Binomial: Multiply $-2$ by each term in the binomial $(4d + 1)$ . $-2(4d + 1) = -2 \times 4d - 2 \times 1 = -8d - 2$
Combine Results: Combine the results from Step $2$ and Step $3$ to get the final simplified product. $\newline$ $(2d - 2)(4d + 1) = 8d^2 + 2d - 8d - 2$
Combine Like Terms: Combine like terms in the expression. $8d^2 + 2d - 8d - 2 = 8d^2 - 6d - 2$