Question

When simplified, (1+1/x)/{(1/x^2)-1} equals?

Answer 1

1/x^3 +1/x^2 -1/x -1

Answer 2

\[\frac{ 1+\frac{ 1 }{ x } }{ \frac{ 1 }{ x^2 }-1 }\]

Answer 3

I would make the numerator and denominator into 1 fraction. This is the same as in basic math. find a common denominator and add

Answer 4

This one is multiple choice. The answers are between a) x/1-x b) x/x-1 c) 1/x-1 d) x-1/x

Answer 5

\[\frac{ \frac{ x }{ x } +\frac{ 1 }{ x }}{ \frac{ 1 }{ x^2 } -\frac{ x^2 }{ x^2 }}=\frac{ \frac{ x+1 }{ x } }{ \frac{ 1-x^2 }{ x^2 } }\]

Answer 6

Now just like in basic math when we divide fractions we can flip the denominator and multiply instead

Answer 7

\[\frac{ x+1 }{ x }\times \frac{ x^2 }{ 1-x^2 }=\frac{ (x+1)x }{ 1-x^2 }\]You can see that an x will cancel from the bottom.

Answer 8

we can factor the denominator next

Answer 9

Do you want to learn how to do it or just have the answer? Think wisely before you answer this question

Answer 10

Sure, could you teach me

Answer 11

\[\frac{ (x+1)x }{ 1-x^2 }=\frac{ (x+1)x }{ (1-x)(1+x) }=\frac{ x }{ 1-x }\]

Answer 12

just write down each of my posted steps and ask me any questions you don't understand. I have posted all of my work and I tried to post my thought process as well.

Answer 13

After studying it a bit, I understand it. Thank you very much.

Answer 14

yw