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

First term multiplication: To find the product of the two binomials (v – 3) and (4v + 1), we will use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). First, we multiply the first terms in each binomial: v * 4v = 4v^2.Outer term multiplication: Next, we multiply the outer terms: v * 1 = v.Inner term multiplication: Then, we multiply the inner terms: -3 * 4v = -12v.Last term multiplication: Finally, we multiply the last terms in each binomial: -3 * 1 = -3.Combining all products: Now, we combine all the products: 4v^2 + v - 12v - 3.Simplifying the expression: We simplify the expression by combining like terms: 4v^2 + v - 12v - 3 = 4v^2 - 11v - 3.

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

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Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(v - 3)(4v + 1)

\newline

______

First term multiplication: To find the product of the two binomials $(v – 3)$ and $(4v + 1)$ , we will use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). $\newline$ First, we multiply the first terms in each binomial: $v \times 4v = 4v^2$ .
Outer term multiplication: Next, we multiply the outer terms: $v \times 1 = v$ .
Inner term multiplication: Then, we multiply the inner terms: $-3 \times 4v = -12v$ .
Last term multiplication: Finally, we multiply the last terms in each binomial: $-3 \times 1 = -3$ .
Combining all products: Now, we combine all the products: $4v^2 + v - 12v - 3$ .
Simplifying the expression: We simplify the expression by combining like terms: $4v^2 + v - 12v - 3 = 4v^2 - 11v - 3$ .