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Adding and Subtracting Rational Expressions: Finding Least Common Multiples

Master the art of adding and subtracting rational expressions by finding the least common multiples and denominators using prime factorization. Learn through examples to simplify expressions effectively.

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Adding and Subtracting Rational Expressions: Finding Least Common Multiples

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  1. Lesson 8-2: Adding and Subtracting Rational Expressions

  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 = 2·3 • 4 = 22 • LCM= 22·3 = 12

  3. Find the LCM 1. 18r2s5, 24r3st2, and 15s3t 2. a2 – 6a + 9 and a2 + a -12 3. 2k3 – 5k2 – 12k and k3 – 8k2 +16k

  4. 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

  5. Examples: Simplify 4. 5. 6.

  6. 7. 8.

  7. 9. 10.

  8. 11. 12.

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