Find the product. Simplify your answer. (4q + 3)(3q + 1) ______

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials (4q + 3) and (3q + 1). (4q + 3)(3q + 1) = 4q(3q) + 4q(1) + 3(3q) + 3(1)Multiply Terms: Multiply each term. 4q(3q) = 12q^2 4q(1) = 4q 3(3q) = 9q 3(1) = 3Combine Like Terms: Combine the like terms from the multiplication. (4q + 3)(3q + 1) = 12q^2 + 4q + 9q + 3Add Like Terms: Add the like terms 4q and 9q to simplify the expression further. 12q^2 + 4q + 9q + 3 = 12q^2 + (4q + 9q) + 3 12q^2 + 13q + 3

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4q + 3)(3q + 1)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials $(4q + 3)$ and $(3q + 1)$ . $(4q + 3)(3q + 1) = 4q(3q) + 4q(1) + 3(3q) + 3(1)$
Multiply Terms: Multiply each term. $\newline$ $4q(3q) = 12q^2$ $\newline$ $4q(1) = 4q$ $\newline$ $3(3q) = 9q$ $\newline$ $3(1) = 3$
Combine Like Terms: Combine the like terms from the multiplication. $\newline$ $(4q + 3)(3q + 1) = 12q^2 + 4q + 9q + 3$
Add Like Terms: Add the like terms $4q$ and $9q$ to simplify the expression further. $\newline$ $12q^2 + 4q + 9q + 3 = 12q^2 + (4q + 9q) + 3$ $\newline$ $12q^2 + 13q + 3$