Answer
$\dfrac{13}{(5x-2)^2}$
Work Step by Step
Use the distributive property.
$\dfrac{(4x+1)\cdot 5-(5x-2)\cdot 4}{(5x-2)^2}\\
\\=\dfrac{20x+ 5-(20x-8)}{(5x-2)^2}\\
\\=\dfrac{20x+ 5-20x+8}{(5x-2)^2}$
Simplify.
$=\dfrac{13}{(5x-2)^2}$
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: 38
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