### Concept (1)

Adding and subtracting rational expressions is similar to adding fractions. When adding and subtracting rational expressions, we find a common denominator and then add the numerators. To find a common denominator, factor each first. This strategy is especially important when the denominators are trinomials.

### Sample Problems (6)

Need help with "Adding and Subtracting Rational Expression" problems? Watch expert teachers solve similar problems to develop your skills.

Add and Simplify:

 3x² + 6x x + 2 x + 2
###### Problem 1
How to add or subtract rational expressions that already have a common denominator.

Simplify:

 7m − 2 − 5m − 6 m² + 3m + 2 m² + 3m + 2
###### Problem 2
How to subtract rational expressions with the same denominator.

Simplify:

 4 + x² + x x + 3 x² + 4x + 3
###### Problem 3
How to add or subtract rational expressions when they have different denominators.

Simplify:

 x − x x² − 16 x² + 8x + 16
###### Problem 4
How to add or subtract rational expressions when the common denominator has three factors.
###### Problem 5
Work application, or total time to finish a job using a rational equation.
###### Problem 6
How to find the least common denominator of two monomial terms that include variables
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