### 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 (9)

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Problem 1

How to add rational expressions.

Problem 2

How to add and subtract multiple rational expressions.

Problem 3

How to add and subtract rational expressions that then simplifies.

Problem 4

Adding and subtracting rational expressions that already have common denominators with attention to domain restrictions.

Problem 5

Adding and subtracting rational expressions that already have common denominators and binomial numerators.

Problem 6

Adding and subtracting rational expressions with unlike denominators that have a common factor.

Problem 7

Adding and subtracting rational expressions with unlike denominators.

Problem 8

Identifying the least common multiples (LCM) of polynomials.

Problem 9

Distance equals rate times time as boat in current problem.