College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises: 55

Answer

$\frac{5x-6}{x(x-1)}$

Work Step by Step

We form a common denominator, then add, factor, and simplify: $\displaystyle \frac{2}{x}+\frac{3}{x-1}-\frac{4}{x^{2}-x}=\frac{2}{x}+\frac{3}{x-1}-\frac{4}{x(x-1)}=\frac{2(x-1)}{x(x-1)}+\frac{3x}{x(x-1)}+\frac{-4}{x(x-1)}=\frac{2x-2+3x-4}{x(x-1)}=\frac{5x-6}{x(x-1)}$
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