### 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.

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Sample Problems
(9)

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###### Problem 1

How to add rational expressions.

###### 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.