1. 8.5 – Add and Subtract Rational Expressions

2. When you add or subtract fractions, you must have a common denominator. When you subtract, make sure to distribute the negative!

3. 1. Perform the indicated operation and simplify. a. = 6 = 1

4. 1. Perform the indicated operation and simplify. b. = =

5. 1. Perform the indicated operation and simplify. c. = =

6. What if you have unlike denominators? Find the least common denominator!

7. 2. Find the least common multiple. and 5x(2x – 3) 5x 3 (2x – 3) a.

8. 2. Find the least common multiple. and 4(x 2 – 4) 6(x 2 – 4x + 4) 6(x – 2) 2 4(x – 2)(x + 2) 12(x – 2) 2 (x + 2) b.

9. 3. Perform the indicated operation. = 2x2x 3 2x2x 3

10. 4. Perform the indicated operation. x + 4 x + 6 =

11. 5. Perform the indicated operation. = 2x – 3 2

12. 6. Perform the indicated operation. = (x+3) (x+3)(x+5) (x-5)(x+5)

13. 6. Perform the indicated operation.

14. Complex Fraction: Fraction in the numerator or denominator How To solve: Multiply the numerator and denominator by the least common multiple of every fraction in the numerator and denominator

15. 7. Simplify. 60 === -5

16. 8. Simplify. (x+5)(x-3) =