Find the product. Simplify your answer. (2w + 3)(3w - 4) ______

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials (2w + 3) and (3w - 4). (2w + 3)(3w - 4) = 2w(3w) + 2w(-4) + 3(3w) + 3(-4)Multiply Terms: Multiply each term in the first binomial by each term in the second binomial. 2w(3w) = 6w^2 (Multiplying the first terms) 2w(-4) = -8w (Multiplying the outer terms) 3(3w) = 9w (Multiplying the inner terms) 3(-4) = -12 (Multiplying the last terms)Combine Like Terms: Combine the like terms from the multiplication results. 6w^2 - 8w + 9w - 12 6w^2 + (9w - 8w) - 12 6w^2 + 1w - 12Final Simplified Form: Write the final simplified form of the product. The product of (2w + 3) and (3w - 4) is 6w^2 + w - 12.

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2w + 3)(3w - 4)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials $(2w + 3)$ and $(3w - 4)$ . $(2w + 3)(3w - 4) = 2w(3w) + 2w(-4) + 3(3w) + 3(-4)$
Multiply Terms: Multiply each term in the first binomial by each term in the second binomial. $\newline$ $2w(3w) = 6w^2$ (Multiplying the first terms) $\newline$ $2w(-4) = -8w$ (Multiplying the outer terms) $\newline$ $3(3w) = 9w$ (Multiplying the inner terms) $\newline$ $3(-4) = -12$ (Multiplying the last terms)
Combine Like Terms: Combine the like terms from the multiplication results. $\newline$ $6w^2 - 8w + 9w - 12$ $\newline$ $6w^2 + (9w - 8w) - 12$ $\newline$ $6w^2 + 1w - 12$
Final Simplified Form: Write the final simplified form of the product. $\newline$ The product of $2w + 3$ and $3w - 4$ is $6w^2 + w - 12$ .