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Lesson 9.1 Multiplying & Dividing Rational Expressions Ratio of two polynomials Simplifying Rational Expressions (Reducing) [1] Factor the numerator & denominator [2] Cancel common factors Property of –1:

Example 1 Reducing Fractions (x + 5)(x – 3) a) b) (x + 5)(x + 3)

Example 2 Simplifying Using Property of -1 b) a) a2(b – 1) c) a3(1 – b)

Example 3 Multiplying Fractions (x + 4)(x – 2) 3(x + 1) b) a) (x + 3)(x + 1)

Example 4 Dividing Fractions b) a)

Example 5 Complex Fraction (dividing cont’)