Algebra › Section G · Rational expressions and functions › Topic G.1

Multiplying and dividing rational expressions

A rational expression is a fraction whose top and bottom are polynomials - and fractions of polynomials obey the exact same arithmetic as numerical fractions, with factoring doing the heavy lifting.

In this topic

  • Fractions, upgraded
  • Excluded values come first
  • Simplifying: factor, then cancel factors
  • Restrictions survive cancellation
  • Opposite factors
  • Multiplying rational expressions
  • Worked example: everything cancels
  • Worked example: dividing by flipping
  • Common mistakes to avoid
  • Key takeaways

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