Addition / Subtraction of Rational Expressions

1. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms

2. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : There is a short cut for addition / subtraction of rational expressions where the denominators are already in simplest form… 1. Multiply the denominators 2. Cross multiply the numerators 3. Combine any like terms if needed

3. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : There is a short cut for addition / subtraction of rational expressions where the denominators are already in simplest form… 1. Multiply the denominators 2. Cross multiply the numerators 3. Combine any like terms if needed

4. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : There is a short cut for addition / subtraction of rational expressions where the denominators are already in simplest form… 1. Multiply the denominators 2. Cross multiply the numerators 3. Combine any like terms if needed

5. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : There is a short cut for addition / subtraction of rational expressions where the denominators are already in simplest form… 1. Multiply the denominators 2. Cross multiply the numerators 3. Combine any like terms if needed

6. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : There is a short cut for addition / subtraction of rational expressions where the denominators are already in simplest form… 1. Multiply the denominators 2. Cross multiply the numerators 3. Combine any like terms if needed

7. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : There is a short cut for addition / subtraction of rational expressions where the denominators are already in simplest form… 1. Multiply the denominators 2. Cross multiply the numerators 3. Combine any like terms if needed

8. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : There is a short cut for addition / subtraction of rational expressions where the denominators are already in simplest form… 1. Multiply the denominators 2. Cross multiply the numerators 3. Combine any like terms if needed

9. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : There is a short cut for addition / subtraction of rational expressions where the denominators are already in simplest form… 1. Multiply the denominators 2. Cross multiply the numerators 3. Combine any like terms if needed

10. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : There is a short cut for addition / subtraction of rational expressions where the denominators are already in simplest form… 1. Multiply the denominators 2. Cross multiply the numerators 3. Combine any like terms if needed

11. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : There is a short cut for addition / subtraction of rational expressions where the denominators are already in simplest form… 1. Multiply the denominators 2. Cross multiply the numerators 3. Combine any like terms if needed Distributed…

12. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : There is a short cut for addition / subtraction of rational expressions where the denominators are already in simplest form… 1. Multiply the denominators 2. Cross multiply the numerators 3. Combine any like terms if needed Answer

13. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE :

14. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE :

15. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : Answer

16. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : Comparing the first denominator with my common denominator, I can see that ( x + 1 ) is missing. So we will multiply ( x + 1 ) by the numerator ( x + 4 )… Answer

17. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : Comparing the second denominator with my common denominator, I can see that ( 2x – 3 ) is missing. So we will multiply ( 2x – 3 ) by the numerator ( - x )… Answer

18. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : Comparing the third denominator with my common denominator, I can see that ( 4x + 5 ) is missing. So we will multiply ( 4x + 5 ) by the numerator ( 4x – 8 )… Answer

19. Addition / Subtraction of Rational Expressions STEPS : 1. factor completely ( if needed ) 2. find a common denominator and place it in the answer 3. find what is “missing” and find your equivalent fraction’s numerator 4. combine like terms EXAMPLE : Now combine all the like terms in those results and place in your answer Answer