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Adding and Subtracting Rational Expressions with Like Denominators

Learn how to add and subtract rational expressions with like denominators and simplify your final answer by factoring out common factors. Practice examples included.

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Adding and Subtracting Rational Expressions with Like Denominators

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  1. 10.4 Addition and Subtraction: Like Denominators • Goal: to add and subtract rational expressions with like denominators

  2. To add and subtract rational expressions with like denominators… • Keep the denominator and add or subtract the numerators (just like adding like terms) • Remember to simplify your final answer

  3. What does it mean to be simplified? • Your answer has to be completely factored (the numerator and denominator) any common factors must be canceled out

  4. Add & Subtract Rational Expressions When the denominators are the same, add or subtract the numerators and write the sum or difference over the common denominator.

  5. Add & Subtract Rational Expressions 3m

  6. Add & Subtract Rational Expressions

  7. Add & Subtract Rational Expressions 3x2 + 4x -15

  8. Add & Subtract Rational Expressions

  9. Add & Subtract Rational Expressions

  10. Add & Subtract Rational Expressions x + 4

  11. Subtracting RE • When you subtract a RE remember to distribute the minus sign to the numerator of the 2nd RE

  12. Subtract:

  13. Subtract Rational Expressions

  14. Subtract fractions: ( ) 2

  15. Subtract fractions:

  16. Subtract fractions:

  17. Subtract fractions:

  18. Subtract fractions:

  19. AssignmentPage 4432-32 even Answer must be factored

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