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Virtual Math Learning Center Texas A&M University Virtual Math Learning Center
tags:
Algebra Series Common Denominator Fraction Rational Function

Properties of Rational Functions and Expressions Video 8

Author: John Fisk

This video explains how to add and subtract rational expressions by finding a common denominator and demonstrates the principles by solving the following problems. You can try to solve the problems before watching the video and click "Reveal Answer" to see if you are correct.

Problem: Perform the following operations:

  1. \(\dfrac{3}{x}+\dfrac{y}{x}\)
  2. \(\dfrac{7}{x-2}-\dfrac{x+1}{x-2}\)
  3. \(\dfrac{2}{x}+\dfrac{x-1}{x+7},\quad\) \(x\neq 0, x\neq -7\)

  1. \(\dfrac{3+y}{x},\quad\) \(x\neq 0\)
  2. \(\dfrac{6-x}{x-2},\quad\) \(x\neq 2\)
  3. \(\dfrac{x^2+x+14}{x(x+7)},\quad\) \(x\neq 0,\) \(x\neq -7\)

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