Algebra-1 Problems

10.2 Multiplying Rational Expressions


Problem #

Problem Statement

Problems Similar To

1.

Simplify the product.

\begin{equation}\frac{5x^{2}}{4} \times \frac{2}{x}\end{equation}

2.

Simplify the product.

\begin{equation}\frac{6x}{x-4} \times \frac{6(x-4)}{4x}\end{equation}

3.

Simplify the product.

\begin{equation}\frac{x+5}{x+2} \times \frac{x+2}{x+6}\end{equation}

4.

Simplify the product.

\begin{equation}\frac{5(x+6)}{x+8} \times \frac{5(x+8)}{5}\end{equation}

5.

Simplify the product.

\begin{equation}\frac{16x^{2}}{32} \times \frac{4}{64x^{5}}\end{equation}

6.

Simplify the product.

\begin{equation}\frac{35}{8(x+9)} \times \frac{5(x+9)}{20}\end{equation}

7.

Simplify the product.

\begin{equation}\frac{x+2}{8(x+3)} \times \frac{x+3}{x^{2}+7x+10}\end{equation}

8.

Simplify the product.

\begin{equation}\frac{8x}{25x^{2}-1} \times \frac{5x^{2}+11x+2}{56}\end{equation}

9.

Simplify the product.

\begin{equation}\frac{3(x+3)}{x^{2}+10x+21} \times (x+7)(x+2)\end{equation}

10.

Simplify the product.

\begin{equation}\frac{40x^{2}y^{5}}{x^{3}} \times \frac{2x^{2}}{3y}\end{equation}

11.

Simplify the product.

\begin{equation}\frac{81x^{2}}{42} \times \frac{7}{729x^{5}}\end{equation}

12.

Simplify the product.

\begin{equation}\frac{7}{3(x+9)} \times (x^{2}+18x+81)\end{equation}

13.

Simplify the product.

\begin{equation}\frac{2(x+6)}{9} \times \frac{54x}{x+6}\end{equation}

14.

Simplify the product.

\begin{equation}\frac{5x^{2}+xy^{3}}{y^{3}} \times \frac{4(xy+4y)}{x^{2}+4x}\end{equation}