Simplify the complex fraction

((3x-7)/x^2)/(x^2/2)+(2/x)

Is this answer right?
(6x-14-2x^3)/(x^4)

4 answers

How did you get that minus ?

I had (6x - 14 + 2x^3)/x^4
You make little mistake.

[ ( 3 x - 7 ) / x² ] / ( x² / 2 ) + 2 / x =

2 • ( 3 x - 7 ) / ( x² • x² ) + 2 / x=

( 6 x - 14 ) / x⁴ + 2 / x =

( 6 x - 14 ) / x⁴ + 2 • x³ / x⁴=

( 2 x³ + 6 x - 14 ) / x⁴ =

2 ( x³ + 3 x - 7 ) / x⁴
"I'm confused" you make mistake, not mathhelper.
Bosnian is correct, he simply factored out the 2 for a better answer
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