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Rational Expressions Operations: Adding, Subtracting & Factoring

Learn to add and subtract rational expressions by finding common denominators, combining like terms, and simplifying. Also, practice examples on finding least common multiples of polynomials and factoring.

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Rational Expressions Operations: Adding, Subtracting & Factoring

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  1. 8.3Add and subtract Rational Expressions

  2. To Add and Subtract • Find Common Denominators • Combine Like Terms • Factor/Simplify

  3. Add and Subtract with Like Denominators • Example 1

  4. Add and Subtract with Like Denominators • Example 2

  5. Add and Subtract with Like Denominators • Example 3

  6. Find the Least Common Multiple of Polynomials Example 4 Find the least common multiple for each pair. A. 4x2y3 and 6x4y5 B. x2 – 2x – 3 and x2 – x – 6

  7. Find the Least common Multiple of Polynomials C. D. Factor each polynomial FIRST

  8. Add and Subtract Example 5 (2) (3x)

  9. Add and Subtract Example 6 (2) (5)

  10. Example 8 Subtract

  11. Add and Subtract Example 9 (6) (x-7)

  12. Add and Subtract Example 10

  13. + x – 3 2x x2 + 3x – 4 x + 4 Add and Subtract Example 11

  14. – x 8 x2 – 4 x + 2 Add and Subtract Example 12

  15. Example 13 Subtract

  16. Example 14 Subtract

  17. Add and Subtract Example 7 (3) (4x²)

  18. Example 15

  19. Add Fractions (3) (5)

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