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factoring - rational expressions

mike mcgarry
lesson by mike mcgarry
magoosh expert
quiz
algebra, equations, and inequalities
summary
the essence of the content revolves around simplifying rational expressions, a critical skill for tackling gmat algebra questions.
  • rational expressions are ratios of two algebraic expressions that often require simplification for gmat problems.
  • simplification involves factoring both the numerator and the denominator and then canceling out common factors.
  • when expressions involve addition or subtraction in the numerator, they can be split into separate fractions with a common denominator for further simplification.
  • practical examples illustrate the process of simplification, including dealing with expressions that contain different variables and require strategic manipulation.
  • practice questions underscore the importance of recognizing opportunities to simplify by canceling common factors, significantly easing the solution process.
chapters
00:00
understanding rational expressions
00:33
simplifying through factoring
02:55
practical application and practice