8.1.2 Multiplying and Dividing Rational Expressions - Worksheet
Example 1: Simplify. Identify any x -values for which the expression is undefined. 1. x x 4 2 6 6 − 2. + − − + x x x x 6 13 5 6 23 7 2 2 3. Example 2: Simplify. Identify any x -values for which the expression is undefined. 4. x x x 4 20 2 − − − − 5. x x x x 6 7 3 3 2 2 + − − +
x 4 3 11 4 2 + + − x x
6. x x x 6 6 1 3 2 + +
Example 3: Multiply. Assume that all expressions are defined. 7. x x x x 2 2 3 4 6 4 2 − − ⋅ − − 8. x x x x 2 3 2 6 5 − − ⋅ − +
2
9. x
x x x 2
16 4 4
2 6 8
− + +
− − +
⋅
x x 2
Example 4: Divide. Assume that all expressions are defined. 10. x y xy x y 3 1 5 4 3 ÷ 11. x x x 2 + − + 3 2 1
x x
3 1
+ −
÷
13. x x x x 2 2
x x x 2 2
2
x x x x 2 2
x x x 25 2 5 12 2 − + −
2 1 3 18
1 7 6
3 10 9 20
12.
− − +
+ + − −
− − + +
÷
÷
Example 5: Solve. Check your solution. 14. x x 16 9 4 3 6 2 − + = −
2 − −
x x x 2 7 15 2 3 2 + − −
x
4
15.
16.
1
10
=
=
x
2
170
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