Adding and Subtracting Rational Expression - 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 (6)

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Adding and Subtracting Rational Expression - Problem 1

Add and Simplify:

3x² + 6x
x + 2 x + 2
Problem 1
How to add or subtract rational expressions that already have a common denominator.
Adding and Subtracting Rational Expression - Problem 2

Simplify:

7m − 2 5m − 6
m² + 3m + 2 m² + 3m + 2
Problem 2
How to subtract rational expressions with the same denominator.
Adding and Subtracting Rational Expression - Problem 3

Simplify:

4 + x² + x
x + 3 x² + 4x + 3
Problem 3
How to add or subtract rational expressions when they have different denominators.
Adding and Subtracting Rational Expression - Problem 4

Simplify:

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