1. (6x3 + 12x2 – 18x)  3x (4x2 + 9x +2)  (x+2) (x3 + 216)  (x + 6)
Warm Up #13 1
(6x3 + 12x2 – 18x)  3x 2
(4x2 + 9x +2)  (x+2) 3
(x )  (x + 6)

2. (6x3 + 12x2 – 18x)  3x (4x2 + 9x +2)  (x+2) (x3 + 216)  (x + 6)
Warm Up #13: 1
(6x3 + 12x2 – 18x)  3x 2
(4x2 + 9x +2)  (x+2) 3
(x )  (x + 6)
2x2 + 4x - 6
4x + 1
x2 – 6x +36

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

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

5. Complex Rational Expressions
Example 1:

6. Example 2:

7. Example 3:

8. Example 4:

9. Example 5: You try

10. Example 6: You try
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)

12. Example 7:

13. Assignment: Page 470 2-24 even