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 - Lesson Check: 2

Answer

$\frac{2}{y+2}$

Work Step by Step

Since we already have common denominators, we can add and simplify the numerators: $\frac{9}{2y+4} - \frac{5}{2y+4} =\frac{9-5}{2y+4} = \frac{4}{2y+4}$ 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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