8.1.3 Adding and Subtracting Rational Expressions - Practice
1. Perform the indicated operation and simplify. Assume that all variables result in nonzero denominators. x x x 9 2 18 2 + + +
2. Add. Identify any x -values for which the expression is undefined. x x x x 3 1 5 − + − +
4. Subtract. Identify any x -values for which the expression is undefined. x x x x 2 1 2 1 2 + + − −
3. Simplify.
3
2 1 2 −
+
x
1
x
−
5. Simplify. Assume that all variables result in nonzero denominators.
6. Simplify. Assume that all expressions are defined. x x x x 4 1 2 − +
3 3 18
4 −
−
x x 2
2
x
36
− −
179
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