Opener – Remember your factoring??? Factor each expression. (take out common monomial, unfoil, or special factors difference of squares, sum or difference of cubes) 1. x 2 3x 4 2. 4 x 2 9 3. 6x 2 x 4. 8 x 3 1 8.4 Rational Expressions a c ac b d bd ka a kb b a x k a x b x k b x a x b x b x a x c x c x Example 1 x 2 4 x 12 Simplify x2 4 12 4 x x2 9 Example 2 5x 2 y 6 x 3 y 2 Multiply 2 xy 3 10y x 2 7x 10 x 2 3x 10 x 2 5x 6 x2 1 Try 6 x 2 y 3 10 x 3 y 4 2 x 2 y 2 18y 2 Example 3 Multiply 4 x 4 x2 x2 x 6 x 2 2x 3 4x Try 3x 27x 3 3x 2 4 x 1 3x 2 2 x 1 3x Example 4 x 3 4 x 2 2 x 1 8x3 1 Try x 2 9x2 6x 4 27x 3 8 Dividing Rational Expressions a c a d ad b d b c bc Example 1 5x x 2 2x 3x 12 x 2 6 x 8 Example 2 6 x 2 7x 3 2 x 2 3x 6x2 3 x 2 3x Try 4 x 8 x2 x 6 Try 8 x 2 10 x 3 4 x2 x 4 x2 Try x 4 x2 9 2 x 3 x 2 x 2 Example 3 Simplify x 9 x 2 25 3x 5 x5 x5 Example 4 2x 2 x 15 2x 5 6x 9 2 2x 11x 21 3x 21 p.531 8-24 even, 27-29, 32-35, 42
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