### 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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Simplify:

 4 + 2 7 + 14x 5 + 10x
###### Problem 1
How to add rational expressions.

Simplify:

 2 − x − 3 x − 2 x² + 2x + 4 x³ − 8
###### Problem 2
How to add and subtract multiple rational expressions.

Simplify:

 4b − 3b b² + 6b + 5 b² + 5b + 4
###### 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.