10/24/2015 1 Simplifying, Multiplying and Dividing Rational Expressions.

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Presentation transcript:

10/24/ Simplifying, Multiplying and Dividing Rational Expressions

10/24/ Simplifying Rational Expressions Let a, b, and c be nonzero real numbers (or variable expressions). Then,

10/24/ Example: Simplify Factor the numerator and denominator Cancel common factors Rewrite the simplified expression

10/24/ Example: Simplify

10/24/ Multiplying Rational Expressions with Monomials Simplify as much as possible Multiply numerators Multiply denominators Simplify Rewrite the simplified expression

10/24/ Example: 2 5 3

10/24/ Multiplying Rational Expressions with polynomials Factor the numerators and denominators of each rational expression Simplify by dividing out common factors Multiply Rewrite in simplified form (no parentheses or negative exponents)

10/24/ Example:

10/24/ Dividing Rational Expressions Rewrite as a multiplication problem (Multiply the first by the reciprocal of the second.) Factor numerators and denominators Simplify Multiply Rewrite the answers in simplified form

10/24/ Example:

10/24/ Multiplying or Dividing Rational Expressions by Polynomials Treat the denominator of the polynomial expression as 1. Factor each numerator and denominator Multiply/”Divide” Rewrite in simplified form

10/24/ Example

10/24/ Assignment Page 558 #16-49