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Simplifying Rational Expressions: Steps & Examples

Learn how to simplify rational expressions by factoring the numerator and denominator, canceling common factors, and simplifying further. Follow step-by-step examples for clear understanding.

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Simplifying Rational Expressions: Steps & Examples

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  1. Simplifying Rational Expressions

  2. What are Rational Expressions? • Remember: A rational number can be expressed as a quotient of two integers. • A rational expression can be expressed as a quotient of two polynomials.

  3. Remember, denominators can not = 0. Now,lets go through the steps to simplify a rational expression.

  4. Steps for Simplifying Rational Expressions Step 1: Factor the numerator and the denominator completely looking for common factors. Step 2: Cancel the common factor. Step 3: Simplify.

  5. Example 1: Simplify

  6. Example 2: Simplify.

  7. Example 3: Simplify

  8. Example 4: Simplify.

  9. Example 5: Simplify.

  10. Example 6: Simplify.

  11. Example 7: Simplify.

  12. Example 8: Simplify.

  13. Example 9: Simplify

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