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Lesson 8-2: Adding and Subtracting Rational Expressions Algebra II CP Mrs. Mongold
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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
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Find the LCM 1. a 2 – 6a + 9 and a 2 + a -12
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Find the LCM 2. 18r 2 s 5, 24r 3 st 2, and 15s 3 t
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Find the LCM 3. 12a 2 b 4, 27ac 3, and 18a 5 b 2 c
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Find the LCM 4. 15a 2 bc 3, 16b 5 c 2, 20a 3 c 6
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Find the LCM 5. p 3 + 5p 2 + 6p and p 2 + 6p + 9
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Find the LCM 6. q 2 – 4q + 4 and q 3 – 3q 2 + 2q
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Find the LCM 7. 2k 3 – 5k 2 – 12l and k 3 – 8k 2 +16k
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Find the LCM 8. x 3 -x 2 – 2x and x 2 – 4x + 4
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Find the LCM 9. 6m 3 n 5, 42mnp 2, 36m 3 n 4 p
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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
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Examples 10. Simplify
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Examples 11. Simplify
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Examples 12. Simplify
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Examples 13. Simplify
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Examples 14. Simplify
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Examples 15. Simplify
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Examples 16. Simplify
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Examples 17. Simplify
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Day # 2 Examples 18. Simplify
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Examples 19. Simplify
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Examples 20. Simplify
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Examples 21. Simplify
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Examples 22. Simplify
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Examples 23. Simplify
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Examples 24. Simplify
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