Find the product. Simplify your answer. (2u + 3)(u - 1) ______

Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (2u + 3) and (u - 1). (2u + 3)(u - 1) = 2u(u) + 2u(-1) + 3(u) + 3(-1)Multiply Binomials: Multiply each term in the first binomial by each term in the second binomial. 2u(u) = 2u^2 2u(-1) = -2u 3(u) = 3u 3(-1) = -3Combine Results: Combine the results from Step 2. (2u + 3)(u - 1) = 2u^2 - 2u + 3u - 3Combine Like Terms: Combine like terms. 2u^2 - 2u + 3u - 3 = 2u^2 + (3u - 2u) - 3 2u^2 + (3u - 2u) - 3 = 2u^2 + 1u - 3Write Final Form: Write the final simplified form of the product. 2u^2 + 1u - 3

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Find the product. Simplify your answer. $\newline$ $(2u + 3)(u - 1)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2u + 3)(u - 1)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials $(2u + 3)$ and $(u - 1)$ . $(2u + 3)(u - 1) = 2u(u) + 2u(-1) + 3(u) + 3(-1)$
Multiply Binomials: Multiply each term in the first binomial by each term in the second binomial. $\newline$ $2u(u) = 2u^2$ $\newline$ $2u(-1) = -2u$ $\newline$ $3(u) = 3u$ $\newline$ $3(-1) = -3$
Combine Results: Combine the results from Step $2$ . $\newline$ $(2u + 3)(u - 1) = 2u^2 - 2u + 3u - 3$
Combine Like Terms: Combine like terms. $\newline$ $2u^2 - 2u + 3u - 3 = 2u^2 + (3u - 2u) - 3$ $\newline$ $2u^2 + (3u - 2u) - 3 = 2u^2 + 1u - 3$
Write Final Form: Write the final simplified form of the product. $2u^2 + 1u - 3$