Adding and Subtracting Rational Expressions - Concept

Concept 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 Sample Problems (9)

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Adding and Subtracting Rational Expressions - Problem 1

Simplify:

4 + 2
7 + 14x 5 + 10x
Problem 1
How to add rational expressions.
Adding and Subtracting Rational Expressions - Problem 2

Simplify:

2 x 3
x − 2 x² + 2x + 4 x³ − 8
Problem 2
How to add and subtract multiple rational expressions.
Adding and Subtracting Rational Expressions - Problem 3

Simplify:

4b 3b
b² + 6b + 5 b² + 5b + 4
Problem 3
How to add and subtract rational expressions that then simplifies.
Adding and Subtracting Rational Expressions - Problem 4
Problem 4
Adding and subtracting rational expressions that already have common denominators with attention to domain restrictions.
Adding and Subtracting Rational Expressions - Problem 5
Problem 5
Adding and subtracting rational expressions that already have common denominators and binomial numerators.
Adding and Subtracting Rational Expressions - Problem 6
Problem 6
Adding and subtracting rational expressions with unlike denominators that have a common factor.
Adding and Subtracting Rational Expressions - Problem 7
Problem 7
Adding and subtracting rational expressions with unlike denominators.
Adding and Subtracting Rational Expressions - Problem 8
Problem 8
Identifying the least common multiples (LCM) of polynomials.
Adding and Subtracting Rational Expressions - Problem 9
Problem 9
Distance equals rate times time as boat in current problem.