X^3/2 - 2x^-1/2 + x^1/2 Help Factoring

[Hierophant]

I'm looking to factor this...


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

The textbook offers the solution 1-x ^4/3

No idea how to get this result. I got X ^-3/2 (x-1)^2
I would like it if someone could shed light on how to factor x^-3/2 from things like 2x ^1/2
I assume you just keep the equation balance, so if you re-distribute everything, it reverts to the original.

I would like to know how you get the answer too.

Thanks so much!

 

[Seydlitz]

Maybe you can do substitution, say $u = x^{1/2}$?

 

[pwsnafu]

I'm looking to factor this... X^3/2 - 2x^-1/2 + x^1/2

The textbook offers the solution 1-x ^4/3

No idea how to get this result. I got X ^-3/2 (x-1)^2

Both look wrong
Mod note: Removed complete answers.

 

[Student100]

I'm looking to factor this...

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

The textbook offers the solution 1-x ^4/3

No idea how to get this result. I got X ^-3/2 (x-1)^2
I would like it if someone could shed light on how to factor x^-3/2 from things like 2x ^1/2
I assume you just keep the equation balance, so if you re-distribute everything, it reverts to the original.

I would like to know how you get the answer too.

Thanks so much!

So why are you looking to factor this, what exactly are you trying to obtain?

Also this should go in homework help, fyi.

edit:
Pwan just gave your answer, but is this what you're even looking for?

 

[Hierophant]

To my delight and perhaps also not to my delight, I got the correct answer, but used the wrong answer key. Sorry guys, won`t happen again.

Also sorry for posting in the wrong section, I was rather fatigued at the moment of posting.

I`m just going to go sit in the corner now.

 

[Hierophant]

To my delight and perhaps also not to my delight, I got the correct answer, but used the wrong answer key. Sorry guys, won`t happen again.

Also sorry for posting in the wrong section, I was rather fatigued at the moment of posting.

I`m just going to go sit in the corner now.