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Introduction to Rational Expressions

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Restrictions

In this lesson, we are going to be introduced to rational expressions.

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Lesson Goals

  • Define rational expressions.
  • State restrictions on the variable values in a rational expression.
  • Simplify rational expressions.
  • Determine equivalence in rational expressions.

Try This

Consider Expression A, \(\dfrac{x^2+2x-3}{3x^2-3x}\), and Expression B, \(\dfrac{3x^2+7x-6}{9x^2-6x}\).

  1. Do they have the same restrictions on the variable \(x\)?
  2. Do they have the same simplified form?
  3. Are they equivalent expressions?