Find the product. Simplify your answer. (4c + 3)(c - 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. (4c + 3)(c - 3) = 4c(c) + 4c(-3) + 3(c) + 3(-3)Perform Multiplication: Perform the multiplication for each pair of terms. Now we multiply the terms together. 4c(c) = 4c^2 4c(-3) = -12c 3(c) = 3c 3(-3) = -9Combine Like Terms: Combine like terms. After multiplying, we add together the terms that are alike. 4c^2 - 12c + 3c - 9Simplify Expression: Simplify the expression by combining the like terms. We combine -12c and 3c to get -9c. 4c^2 - 12c + 3c - 9 = 4c^2 - 9c - 9

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Find the product. Simplify your answer. $\newline$ $(4c + 3)(c - 3)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4c + 3)(c - 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. $\newline$ $(4c + 3)(c - 3) = 4c(c) + 4c(-3) + 3(c) + 3(-3)$
Perform Multiplication: Perform the multiplication for each pair of terms. $\newline$ Now we multiply the terms together. $\newline$ $4c(c) = 4c^2$ $\newline$ $4c(-3) = -12c$ $\newline$ $3(c) = 3c$ $\newline$ $3(-3) = -9$
Combine Like Terms: Combine like terms. $\newline$ After multiplying, we add together the terms that are alike. $\newline$ $4c^2 - 12c + 3c - 9$
Simplify Expression: Simplify the expression by combining the like terms. $\newline$ We combine $-12c$ and $3c$ to get $-9c$ . $\newline$ $4c^2 - 12c + 3c - 9 = 4c^2 - 9c - 9$