Answer
$\dfrac{19}{(3x-5)^2}$
Work Step by Step
Use the distributive property:
$\dfrac{(2x+3)\cdot 3-(3x-5)\cdot 2}{(3x-5)^2}\\
\\=\dfrac{6x+9-(6x-10)}{(3x-5)^2}\\
\\=\dfrac{6x+9-6x+10}{(3x-5)^2}$
Simplify.
$=\dfrac{19}{(3x-5)^2}$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Appendix A - Review - A.5 Rational Expressions - A.5 Assess Your Understanding - Page A42: 37
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