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

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. (2d + 4)(4d + 3) = 2d(4d) + 2d(3) + 4(4d) + 4(3)Perform Multiplication: Perform the multiplication for each pair of terms. Now we multiply the terms we've set up in the previous step. 2d(4d) = 8d^2 2d(3) = 6d 4(4d) = 16d 4(3) = 12Combine Like Terms: Combine like terms. We add the terms from the previous step together, combining the terms with the same variable degree. 8d^2 + 6d + 16d + 12 8d^2 + (6d + 16d) + 12 8d^2 + 22d + 12

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2d + 4)(4d + 3)

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. $\newline$ $(2d + 4)(4d + 3) = 2d(4d) + 2d(3) + 4(4d) + 4(3)$
Perform Multiplication: Perform the multiplication for each pair of terms. $\newline$ Now we multiply the terms we've set up in the previous step. $\newline$ $2d(4d) = 8d^2$ $\newline$ $2d(3) = 6d$ $\newline$ $4(4d) = 16d$ $\newline$ $4(3) = 12$
Combine Like Terms: Combine like terms. $\newline$ We add the terms from the previous step together, combining the terms with the same variable degree. $\newline$ $8d^2 + 6d + 16d + 12$ $\newline$ $8d^2 + (6d + 16d) + 12$ $\newline$ $8d^2 + 22d + 12$