{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

1300_F2011_Sec_53-filled

# 1300_F2011_Sec_53-filled - get a common denominator we have...

This preview shows pages 1–6. Sign up to view the full content.

Math 1300 Section 5.3 1 Addition and Subtraction of Rational Expressions Addition When we add or subtract rational expressions, we do it similarly to the way we do addition or subtraction of fractions: we have to have a common denominator. If the denominators are the same, then you just add or subtract the numerators the way we add or subtract polynomials. The denominator stays the same. After you finish adding or subtracting, make sure to factor the numerator and denominator to see if anything cancels. Examples: Perform the given operations. 1. 8 5 8 3 + 2. y x x y x x + + + 5 3 3. 1 4 4 3 1 4 3 11 - - - x x x x 4. 6 5 6 5 2 3 2 2 2 - + - + x x x x x x

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Math 1300 Section 5.3 2 The only complication happens when the denominators aren’t the same. When that happens, much like regular fractions, we need to get a common denominator.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: get a common denominator, we have to multiply both the numerator and the denominator by the same amount so that we don’t unbalance our formula. Then, once we have common denominators, we add or subtract just like above and then simplify if possible. 1. 4 3 2 1 + 2. y x y x x 2 2 6 3 + + + 3. 14 7 63 7 10 7 25 2 2 + + + + +-x x x x x 4. 4 4 4 + +-x x x Math 1300 Section 5.3 3 5. 12 5 8 7-6. 6 2 3 2 1 +-x 7. 5 5 5 +--x x x 8. x x-+-2 3 4 Math 1300 Section 5.3 4 Perform the given operation. Be sure to factor the answer if possible. Write the answer in lowest terms. 1. 10 1 5 7 + 2. 1 3 5 8 1 3 7 + + + + x x x x 3. z x z z x y + + + 3 4 4. y y y y 3 1 5 1 5 2 + + + + Math 1300 Section 5.3 5 5. a x x a 4 5 3 9-6. 1 4 6 2 6 5 7-----d d d d...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern