Find the product. Simplify your answer. (2v - 3)(4v + 1) ______

Apply Distributive Property: Apply the distributive property to multiply the two binomials. (2v - 3)(4v + 1) = 2v(4v + 1) - 3(4v + 1)Multiply 2v: Multiply 2v by each term in the first binomial. 2v(4v + 1) = 2v * 4v + 2v * 1 = 8v^2 + 2vMultiply -3: Multiply -3 by each term in the second binomial. -3(4v + 1) = -3 * 4v - 3 * 1 = -12v - 3Combine Results: Combine the results from Step 2 and Step 3. (2v - 3)(4v + 1) = 8v^2 + 2v - 12v - 3Combine Like Terms: Combine like terms. 8v^2 + 2v - 12v - 3 = 8v^2 - 10v - 3

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Find the product. Simplify your answer. $\newline$ $(2v - 3)(4v + 1)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2v - 3)(4v + 1)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ $(2v - 3)(4v + 1) = 2v(4v + 1) - 3(4v + 1)$
Multiply $2v$ : Multiply $2v$ by each term in the first binomial. $\newline$ $2v(4v + 1) = 2v \times 4v + 2v \times 1 = 8v^2 + 2v$
Multiply $-3$ : Multiply $-3$ by each term in the second binomial. $\newline$ $-3(4v + 1) = -3 \times 4v - 3 \times 1 = -12v - 3$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(2v - 3)(4v + 1) = 8v^2 + 2v - 12v - 3$
Combine Like Terms: Combine like terms. $\newline$ $8v^2 + 2v - 12v - 3 = 8v^2 - 10v - 3$