College Algebra 7th Edition

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

Chapter P, Prerequisites - Chapter P Review - Exercises: 85

Answer

$6x+3h-5$

Work Step by Step

We distribute and simplify the top terms: $\displaystyle \frac{3(x+h)^{2}-5(x+h)-(3x^{2}-5x)}{h}=\frac{3x^{2}+6xh+3h^{2}-5x-5h-3x^{2}+5x}{h}=\frac{6xh+3h^{2}-5h}{h}$ Then we factor out $h$ and simplify: $\displaystyle=\frac{h(6x+3h-5)}{h}=6x+3h-5$
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