1. Warm Up #13 1 (6x 3 + 12x 2 – 18x)  3x 2 (4x 2 + 9x +2)  (x+2) 3 (x 3 + 216)  (x + 6)

2. Warm Up #13: 1 (6x 3 + 12x 2 – 18x)  3x 2 (4x 2 + 9x +2)  (x+2) 3 (x 3 + 216)  (x + 6) x 2 – 6x +36 4x + 1 2x 2 + 4x - 6

3. Complex Rational Expressions Fractions inside of fractions are a NO - NO And must be simplified.

4. To simplify Complex Rational Expressions Multiply the numerator and denominator by a fraction equivalent to “1” The fraction should contain the factors of all denominators in the expression

5. Complex Rational Expressions Multiply the numerator and denominator by a fraction equivalent to “1” The fraction should contain the factors of all denominators in the expression

6. Steps 1.Find the LCD of the numerator and denominator 2.Multiply the complex rational expression by the LCD/LCD (so its equivalent to multiplying by 1) 3.Simplify (factor and cross out common factors)

9. 8/5

11. Short Cut If there are 2 terms or more on either the numerator or denominator you must multiply by the LCD/LCD However, if there is only 1 term on the numerator and 1 term on the denominator then you can divide fractions (which means multiply by the reciprocal)

14. Assignment: Page 470 2-27 odd