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

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. (2j - 2)(3j + 3) = 2j(3j) + 2j(3) - 2(3j) - 2(3)Multiply Terms: Multiply each term in the first binomial by each term in the second binomial. 2j(3j) = 6j^2 2j(3) = 6j -2(3j) = -6j -2(3) = -6Combine Like Terms: Combine the like terms from the multiplication. 6j^2 + 6j - 6j - 6 = 6j^2 - 6Final Simplified Product: The final simplified product is 6j^2 - 6.

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2j - 2)(3j + 3)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. $\newline$ $(2j - 2)(3j + 3) = 2j(3j) + 2j(3) - 2(3j) - 2(3)$
Multiply Terms: Multiply each term in the first binomial by each term in the second binomial. $\newline$ $2j(3j) = 6j^2$ $\newline$ $2j(3) = 6j$ $\newline$ $-2(3j) = -6j$ $\newline$ $-2(3) = -6$
Combine Like Terms: Combine the like terms from the multiplication. $6j^2 + 6j - 6j - 6 = 6j^2 - 6$
Final Simplified Product: The final simplified product is $6j^2 - 6$ .