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

Rewrite Multiplication: Rewrite the multiplication of the two fractions. (3p^2 - 4p)/(5p + 4) * (5p + 4)/pIdentify Expression: Identify the expression that will do the multiplication. Multiply the numerators together and the denominators together. (3p^2 - 4p) * (5p + 4) / ((5p + 4) * p)Cancel Common Factor: Notice that (5p + 4) appears in both the numerator and the denominator. Since (5p + 4) is a common factor in the numerator and the denominator, it can be canceled out. (3p^2 - 4p) / pSimplify Expression: Simplify the expression by dividing each term in the numerator by p. (3p^2/p) - (4p/p)Perform Division: Perform the division for each term. 3p - 4

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

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

Rewrite Multiplication: Rewrite the multiplication of the two fractions. $\newline$ $(\frac{3p^2 - 4p}{5p + 4}) \times (\frac{5p + 4}{p})$
Identify Expression: Identify the expression that will do the multiplication. $\newline$ Multiply the numerators together and the denominators together. $\newline$ $(3p^2 - 4p) \times (5p + 4) / ((5p + 4) \times p)$
Cancel Common Factor: Notice that $(5p + 4)$ appears in both the numerator and the denominator. $\newline$ Since $(5p + 4)$ is a common factor in the numerator and the denominator, it can be canceled out. $\newline$ $(3p^2 - 4p) / p$
Simplify Expression: Simplify the expression by dividing each term in the numerator by $p$ . $\frac{3p^2}{p}$ - $\frac{4p}{p}$
Perform Division: Perform the division for each term. $3p - 4$