Find the product. Simplify your answer. (3c + 1)(4c + 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. (3c + 1)(4c + 3) = 3c(4c) + 3c(3) + 1(4c) + 1(3)Perform Multiplication: Perform the multiplication for each pair of terms. Now we multiply the terms together. 3c(4c) = 12c^2 3c(3) = 9c 1(4c) = 4c 1(3) = 3Combine Like Terms: Combine like terms. After multiplication, we add the like terms together. 12c^2 + 9c + 4c + 3 12c^2 + (9c + 4c) + 3 12c^2 + 13c + 3

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Find the product. Simplify your answer. $\newline$ $(3c + 1)(4c + 3)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(3c + 1)(4c + 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. $\newline$ $(3c + 1)(4c + 3) = 3c(4c) + 3c(3) + 1(4c) + 1(3)$
Perform Multiplication: Perform the multiplication for each pair of terms. $\newline$ Now we multiply the terms together. $\newline$ $3c(4c) = 12c^2$ $\newline$ $3c(3) = 9c$ $\newline$ $1(4c) = 4c$ $\newline$ $1(3) = 3$
Combine Like Terms: Combine like terms. $\newline$ After multiplication, we add the like terms together. $\newline$ $12c^2 + 9c + 4c + 3$ $\newline$ $12c^2 + (9c + 4c) + 3$ $\newline$ $12c^2 + 13c + 3$