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

Apply Distributive Property: Apply the distributive property to multiply the two binomials. (4v - 3)(v + 2) = 4v(v + 2) - 3(v + 2)Distribute 4v: Distribute 4v across the terms inside the parentheses. 4v(v + 2) = 4v * v + 4v * 2 = 4v^2 + 8vDistribute -3: Distribute -3 across the terms inside the parentheses. -3(v + 2) = -3 * v - 3 * 2 = -3v - 6Combine Results: Combine the results from Step 2 and Step 3. (4v - 3)(v + 2) = 4v^2 + 8v - 3v - 6Combine Like Terms: Combine like terms. 4v^2 + 8v - 3v - 6 = 4v^2 + (8v - 3v) - 6 = 4v^2 + 5v - 6

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4v - 3)(v + 2)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ $(4v - 3)(v + 2) = 4v(v + 2) - 3(v + 2)$
Distribute $4v$ : Distribute $4v$ across the terms inside the parentheses. $\newline$ 4v(v + 2) = 4v \times v + 4v \times 2$\newline= 4v^2 + 8v$
Distribute $-3$ : Distribute $-3$ across the terms inside the parentheses. $\newline$ -3(v + 2) = -3 \times v - 3 \times 2$\newline= -3v - 6$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(4v - 3)(v + 2) = 4v^2 + 8v - 3v - 6$
Combine Like Terms: Combine like terms. $\newline$ $4v^2 + 8v - 3v - 6 = 4v^2 + (8v - 3v) - 6$ $\newline$ $= 4v^2 + 5v - 6$