Adding and Subtracting Rational Expressions

1
Adding and Subtracting Rational Expressions

• Advanced Math Topics
• Mrs. Mongold

2
Adding and Subtracting Rational Expressions

• Finding Least Common Multiples and Least Common
  Denominators!
• Use prime factorization
• Example Find the LCM of 6 and 4
• 6 23
• 4 22
• LCM 223 12

3
Find the LCM

• 1. a2 6a 9 and a2 a -12

4
Find the LCM

• 2. 18r2s5, 24r3st2, and 15s3t

5
Find the LCM

• 3. 12a2b4, 27ac3, and 18a5b2c

6
Find the LCM

• 4. 15a2bc3, 16b5c2, 20a3c6

7
Find the LCM

• 5. p3 5p2 6p and p2 6p 9

8
Find the LCM

• 6. q2 4q 4 and q3 3q2 2q

9
Find the LCM

• 7. 2k3 5k2 12l and k3 8k2 16k

10
Find the LCM

• 8. x3-x2 2x and x2 4x 4

11
Find the LCM

• 9. 6m3n5, 42mnp2, 36m3n4p

12
Add and Subtract Rational Expressions

• Same as fractions
• To add two fractions we find the LCD, the same
  things is going to happen with rational
  expressions

13
Examples

• 10. Simplify

14
Examples

• 11. Simplify

15
Examples

• 12. Simplify

16
Examples

• 13. Simplify

17
Examples

• 14. Simplify

18
Examples

• 15. Simplify

19
Examples

• 16. Simplify

20
Examples

• 17. Simplify

21
Examples

• 18. Simplify

22
Examples

• 19. Simplify

23
Examples

• 20. Simplify

24
Examples

• 21. Simplify

25
Examples

• 22. Simplify

26
Examples

• 23. Simplify

27
Examples

• 24. Simplify