How to express in simplist form with positive exponets, Help... x – 1/x / 1 + 1/x?

Question

How to express in simplist form with positive exponets, Help... x – 1/x / 1 + 1/x?

Answer 1

You should use parentheses...  The answer above didn't take into account that you forgot the parentheses.

(x - 1/x) / (1 + 1/x)

First, add x to -1/x in the numerator...

x - 1/x = x^2/x - 1/x = (x^2 - 1) / x = [(x+1)(x-1)] / x

And do the same for the denominator...

1 + 1/x = x/x + 1/x = (x + 1) / x

Then divide.  When you divide by a fraction, invert the denominator and multiply...

{[(x+1)(x-1)] / x} / [(x+1) / x]

= {[(x+1)(x-1)] / x} [x/(x+1)] = x - 1  (ANSWER)

...note that (x+1) divides out and x also divides out.

Take care,

David

www.tutor-homework.com

Answer 2

x – 1/x / 1 + 1/x ????????

you should have written clearly.

I don't know what you want me to do with this!!!!!

　

edd more details then I'll answer you

　　

Answer 3

x-1/x/1+1/x

=x-1/x + 1/x

=(x-1+1)/x

=x/x

=1

Answer 4

hi

  ==

( (x^2-1)/x )/ ( (x+1)/x ) =

(x^2-1) / (x+1) =

(x-1)(x+1)/(x+1) =

x-1

Answer 5

if it is x-1/x/1+1/x=x-1/x+1/x.

-1/x,+1/x get cancelled as they have opposite sign and remaining is x.

ur answer is just x.

Answer 6

(x-1/x)/1+1/x

[(x^2-1)/x]/(x+1)/x

[(x+1)(x-1)/x]/(x+1)/x

on dividing we get

(x-1)