Answer
$\frac{2x+1}{2x-6}$
Work Step by Step
First, cancel out like terms and simplify:
from: $\frac{5(x-3)(2x+1)}{10(x-3)^{2}}$
to: $\frac{(2x+1)}{2(x-3)}$
then, expand the bracket:
$\frac{2x+1}{2x-6}$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 1 - Section 1.4 - Rational Expressions - 1.4 Exercises - Page 43: 15
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