Asked by I'm confused
Simplify the complex fraction
((3x-7)/x^2)/(x^2/2)+(2/x)
Is this answer right?
(6x-14-2x^3)/(x^4)
((3x-7)/x^2)/(x^2/2)+(2/x)
Is this answer right?
(6x-14-2x^3)/(x^4)
Answers
Answered by
mathhelper
How did you get that minus ?
I had (6x - 14 + 2x^3)/x^4
I had (6x - 14 + 2x^3)/x^4
Answered by
Bosnian
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
[ ( 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
Answered by
Bosnian
"I'm confused" you make mistake, not mathhelper.
Answered by
mathhelper
Bosnian is correct, he simply factored out the 2 for a better answer
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