Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-4 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises - Page 676: 35


When you use the LCD to add or subtract rational expressions, the answer will not always be in the simplest form. This is because once added or subtracted together, the new numerator may have common factors with the denominator that would now need to be divided out of the problem.

Work Step by Step

Example: $\frac{9}{2y+4} - \frac{5}{2y+4} =\frac{9-5}{2y+4} = \frac{4}{2y+4}$ Now we can reduce the fraction by factoring out 2 from the denominator and dividing: $ \frac{4}{2y+4} = \frac{4}{2(y+2)} = \frac{2}{y+2} $
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