Find the product. Simplify your answer. (4x + 4)(3x + 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. (4x + 4)(3x + 2) = 4x(3x) + 4x(2) + 4(3x) + 4(2)Perform Multiplication: Perform the multiplication for each term. Now we multiply the terms we've set up in the previous step. 4x(3x) = 12x^2 4x(2) = 8x 4(3x) = 12x 4(2) = 8Combine Like Terms: Combine like terms. We add the terms that have the same variable to the same power. 12x^2 + 8x + 12x + 8 12x^2 + (8x + 12x) + 8 12x^2 + 20x + 8

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4x + 4)(3x + 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. $\newline$ $(4x + 4)(3x + 2) = 4x(3x) + 4x(2) + 4(3x) + 4(2)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ Now we multiply the terms we've set up in the previous step. $\newline$ $4x(3x) = 12x^2$ $\newline$ $4x(2) = 8x$ $\newline$ $4(3x) = 12x$ $\newline$ $4(2) = 8$
Combine Like Terms: Combine like terms. $\newline$ We add the terms that have the same variable to the same power. $\newline$ $12x^2 + 8x + 12x + 8$ $\newline$ $12x^2 + (8x + 12x) + 8$ $\newline$ $12x^2 + 20x + 8$