Multiply. Write your answer in simplest form. 40n - 16/2n + 5 * 2n + 5/8 ______

Write Problem: Write down the problem. ((40n - 16)/(2n + 5)) * ((2n + 5)/8)Factor Out Common Factor: Factor out the common factor in the numerator of the first fraction. 40n - 16 can be factored as 8(5n - 2). So the expression becomes ((8(5n - 2))/(2n + 5)) * ((2n + 5)/8).Identify Common Factors: Identify the common factors in the numerator and the denominator. Notice that (2n + 5) is a common factor in the denominator of the first fraction and the numerator of the second fraction.Multiply Numerators and Denominators: Multiply the numerators and the denominators. ((8(5n - 2))/(2n + 5)) * ((2n + 5)/8) becomes (8(5n - 2) * (2n + 5))/(2n + 5) * 8.Cancel Common Factors: Cancel out the common factors. The (2n + 5) in the numerator and denominator cancel each other out, as do the 8s. This leaves us with 5n - 2.Write Final Answer: Write down the final answer. The final answer is 5n - 2.

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Algebra 2

Multiply and divide rational expressions

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Q. Multiply. Write your answer in simplest form.

\newline

\frac{40n - 16}{2n + 5} \times \frac{2n + 5}{8}

Write Problem: Write down the problem. $\newline$ $\frac{40n - 16}{2n + 5} \times \frac{2n + 5}{8}$
Factor Out Common Factor: Factor out the common factor in the numerator of the first fraction. $\newline$ $40n - 16$ can be factored as $8(5n - 2)$ . $\newline$ So the expression becomes $\left(\frac{8(5n - 2)}{2n + 5}\right) \times \left(\frac{2n + 5}{8}\right)$ .
Identify Common Factors: Identify the common factors in the numerator and the denominator. $\newline$ Notice that $(2n + 5)$ is a common factor in the denominator of the first fraction and the numerator of the second fraction.
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\left(\frac{8(5n - 2)}{2n + 5}\right) \times \left(\frac{2n + 5}{8}\right)$ becomes $\frac{8(5n - 2) \times (2n + 5)}{(2n + 5) \times 8}$ .
Cancel Common Factors: Cancel out the common factors. $\newline$ The $2n + 5$ in the numerator and denominator cancel each other out, as do the $8$ s. $\newline$ This leaves us with $5n - 2$ .
Write Final Answer: Write down the final answer. $\newline$ The final answer is $5n - 2$ .