Lesson 8-2: Adding and Subtracting Rational Expressions Algebra II CP Mrs. Mongold

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 = 2·3 4 = 2 2 LCM= 2 2 ·3 = 12

Find the LCM 1. a 2 – 6a + 9 and a 2 + a -12

Find the LCM 2. 18r 2 s 5, 24r 3 st 2, and 15s 3 t

Find the LCM 3. 12a 2 b 4, 27ac 3, and 18a 5 b 2 c

Find the LCM 4. 15a 2 bc 3, 16b 5 c 2, 20a 3 c 6

Find the LCM 5. p 3 + 5p 2 + 6p and p 2 + 6p + 9

Find the LCM 6. q 2 – 4q + 4 and q 3 – 3q 2 + 2q

Find the LCM 7. 2k 3 – 5k 2 – 12l and k 3 – 8k 2 +16k

Find the LCM 8. x 3 -x 2 – 2x and x 2 – 4x + 4

Find the LCM 9. 6m 3 n 5, 42mnp 2, 36m 3 n 4 p

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

Examples 10. Simplify

Examples 11. Simplify

Examples 12. Simplify

Examples 13. Simplify

Examples 14. Simplify

Examples 15. Simplify

Examples 16. Simplify

Examples 17. Simplify

Day # 2 Examples 18. Simplify

Examples 19. Simplify

Examples 20. Simplify

Examples 21. Simplify

Examples 22. Simplify

Examples 23. Simplify

Examples 24. Simplify