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Lesson 8-2: Adding and Subtracting Rational Expressions. 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.
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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 = 22 • LCM= 22·3 = 12
Find the LCM 1. 18r2s5, 24r3st2, and 15s3t 2. a2 – 6a + 9 and a2 + a -12 3. 2k3 – 5k2 – 12k and k3 – 8k2 +16k
Add and Subtract Rational Expressions • Same as fractions… • To add two fractions we find the LCD, the same thing is going to happen with rational expressions
Examples: Simplify 4. 5. 6.
7. 8.
9. 10.
11. 12.