### 10.2 Multiplying Rational Expressions

Problem #

Problem Statement

Problems Similar To

1.

Simplify the product.

$$\frac{5x^{2}}{5} \times \frac{5}{x}$$

2.

Simplify the product.

$$\frac{9x}{x-10} \times \frac{3(x-10)}{8x}$$

3.

Simplify the product.

$$\frac{x+9}{x+8} \times \frac{x+8}{x+8}$$

4.

Simplify the product.

$$\frac{5(x+7)}{x+3} \times \frac{5(x+3)}{5}$$

5.

Simplify the product.

$$\frac{16x^{2}}{21} \times \frac{3}{64x^{5}}$$

6.

Simplify the product.

$$\frac{100}{10(x+8)} \times \frac{3(x+8)}{50}$$

7.

Simplify the product.

$$\frac{x+2}{3(x+10)} \times \frac{x+10}{x^{2}+10x+16}$$

8.

Simplify the product.

$$\frac{7x}{100x^{2}-1} \times \frac{10x^{2}+51x+5}{49}$$

9.

Simplify the product.

$$\frac{2(x+4)}{x^{2}+13x+36} \times (x+9)(x+8)$$

10.

Simplify the product.

$$\frac{14x^{2}y^{5}}{x^{3}} \times \frac{10x^{2}}{7y}$$

11.

Simplify the product.

$$\frac{49x^{2}}{16} \times \frac{2}{343x^{5}}$$

12.

Simplify the product.

$$\frac{9}{4(x+5)} \times (x^{2}+14x+45)$$

13.

Simplify the product.

$$\frac{9(x+5)}{9} \times \frac{45x}{x+5}$$

14.

Simplify the product.

$$\frac{9x^{2}+xy^{3}}{y^{3}} \times \frac{6(xy+3y)}{x^{2}+3x}$$