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1300_Sec_53-filled - get a common denominator we have to...

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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
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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.
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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...
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