Multiply. Write your answer in simplest form. v^2 - 4/4v - 5 * (4v - 5) ______

Identify Expressions: Identify the expressions to be multiplied. We have the expression (v^2 - 4)/(4v - 5) to be multiplied by (4v - 5).Rewrite as Single Fraction: Rewrite the multiplication as a single fraction. The multiplication (v^2 - 4)/(4v - 5) * (4v - 5) can be rewritten as (v^2 - 4)/(4v - 5) * (4v - 5)/1.Multiply Numerators and Denominators: Multiply the numerators and the denominators. The numerators (v^2 - 4) and (4v - 5) are multiplied together, and the denominators (4v - 5) and 1 are multiplied together. This gives us (v^2 - 4) * (4v - 5) / ((4v - 5) * 1).Simplify Expression: Simplify the expression. Notice that (4v - 5) appears in both the numerator and the denominator, so they cancel each other out. This leaves us with v^2 - 4 in the numerator and 1 in the denominator. The simplified expression is (v^2 - 4)/1.Write Final Answer: Write the final answer. Since any number divided by 1 is the number itself, the final answer is v^2 - 4.

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Math Problems

Algebra 2

Multiply and divide rational expressions

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Q. Multiply. Write your answer in simplest form.

\newline

\frac{v^2 - 4}{4v - 5} \times (4v - 5)

Identify Expressions: Identify the expressions to be multiplied. $\newline$ We have the expression $(v^2 - 4)/(4v - 5)$ to be multiplied by $(4v - 5)$ .
Rewrite as Single Fraction: Rewrite the multiplication as a single fraction. $\newline$ The multiplication $(v^2 - 4)/(4v - 5) \times (4v - 5)$ can be rewritten as $(v^2 - 4)/(4v - 5) \times (4v - 5)/1$ .
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\newline$ The numerators $(v^2 - 4)$ and $(4v - 5)$ are multiplied together, and the denominators $(4v - 5)$ and $1$ are multiplied together. $\newline$ This gives us $(v^2 - 4) \times (4v - 5) / ((4v - 5) \times 1)$ .
Simplify Expression: Simplify the expression. $\newline$ Notice that $(4v - 5)$ appears in both the numerator and the denominator, so they cancel each other out. $\newline$ This leaves us with $v^2 - 4$ in the numerator and $1$ in the denominator. $\newline$ The simplified expression is $(v^2 - 4)/1$ .
Write Final Answer: Write the final answer. $\newline$ Since any number divided by $1$ is the number itself, the final answer is $v^2 - 4$ .