Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
Precalculus I / College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Precalculus II / Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III

Course: Intermediate Algebra
Topic: Rational Expressions
Subtopic: Operations III - Add & Subtract (same denominators)

Overview

In this lesson we add rational expressions where the fractions have the same denominator. To do so we simply add the numerators, simplify, and that result will be over the common denominator. When subtracting be careful to distribute the minus sign through the entire numerator of the fraction it precedes. Not doing so is a common error!

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 8.3.1 Add rational expressions that have the same denominator
• 8.3.2 Subtract rational expressions that have the same denominator without making a sign error

Terminology

Terms you should be able to define: "like" (same) denominators, "unlike" (different) denominators
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