MULTIPLYING AND DIVIDING RATIONAL EXPRESSIONS WORKSHEET

Problem 1 :

(x²+ 4x – 12)/[x²(x²+ 9x + 18)]⋅(6x)

Problem 2 :

(3x²– 12)/(5x – 10)⋅[1/(2x + 4)]

Problem 3 :

(x²– 4)/(x²+ 4)⋅[(x + 2)/(x–2)]

Problem 4 :

(5x²– 20)/25x²⋅[x/(x - 2)]

Problem 5 :

12x²y³z/6x³y²2²

Problem 6 :

[(x³+ 3x²)/2x] ÷ [(x²+ 5x + 6)]/5x³

Problem 7 :

[(x²+ x – 20)/(x + 1)] ÷ [(11x + 55)/(x + 1)]

Problem 8 :

[(x²+ 5x + 6)/(x + 3)] ÷ [(x²– 4)/(x + 1)]

Answer Key

1) 6(x – 2)/(x(x + 3))

2) 3/10

3) (x + 2)²/(x² + 4)

4) (x + 2)/5x

5) yz/2x

6) 5x⁴/2(x + 2)

7) (x – 4)/11

8) (x + 1)/(x – 2)

Simplify the following rational expressions.

1) (2x + 6) / (4x - 12) Solution

2) (x² + 9x + 20) / (2x + 8) Solution

3) (6x + 24)/(x² +7x + 12) Solution

4) (3x + 18)/(x²+6x) Solution

5) (3x - 12)/(3x²- 12x) Solution

6) (x²- 5x + 6)/(x²+ 2x - 15) Solution

7) (4x + 4)/(x²+ 4x + 3) Solution

8) (x² - x - 12)/(x²- 2x - 8) Solution

9) (x² - 5x + 4)/(x²- 4x) Solution

10) (x² - x - 30)/(x²- 12x + 36) Solution