Multiply. Write your answer in simplest form. n - 4/5n * 3n^2 + 11n - 4/n - 4 ______

Rewrite Multiplication: Rewrite the multiplication of the two fractions. (n - 4)/(5n) * (3n^2 + 11n - 4)/(n - 4)Identify Expression: Identify the expression that will do the multiplication. Multiply the numerators together and the denominators together. ((n - 4) * (3n^2 + 11n - 4)) / (5n * (n - 4))Factor Quadratic: Factor the quadratic expression in the numerator if possible. 3n^2 + 11n - 4 does not factor nicely, so we leave it as is.Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. The (n - 4) terms cancel each other out. (3n^2 + 11n - 4) / 5nCheck Simplification: Check for any further simplification. There are no common factors between the numerator and the denominator, so this is the simplest form.

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Multiply. Write your answer in simplest form. $\newline$ $\frac{n - 4}{5n} \times \frac{3n^2 + 11n - 4}{n - 4}$

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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{n - 4}{5n} \times \frac{3n^2 + 11n - 4}{n - 4}

Rewrite Multiplication: Rewrite the multiplication of the two fractions. $\frac{n - 4}{5n} \times \frac{3n^2 + 11n - 4}{n - 4}$
Identify Expression: Identify the expression that will do the multiplication. Multiply the numerators together and the denominators together. $\frac{(n - 4) \times (3n^2 + 11n - 4)}{5n \times (n - 4)}$
Factor Quadratic: Factor the quadratic expression in the numerator if possible. $3n^2 + 11n - 4$ does not factor nicely, so we leave it as is.
Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. $\newline$ The $(n - 4)$ terms cancel each other out. $\newline$ $(3n^2 + 11n - 4) / 5n$
Check Simplification: Check for any further simplification. $\newline$ There are no common factors between the numerator and the denominator, so this is the simplest form.