math question!!!!!!?

Question

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

Answer 1

No, not in general.
1 - x(1+x^2)^(-1/2)
= 1 - x/sqrt(1+x^2)
= (sqrt(1+x^2) - x)/sqrt(1+x^2)

Answer 2

Not the way you've got it written. You have only the quantity
(1+x)^-1/2 power so that becomes (1+x)^1/2 in the denominator of both sides of the equation. that leaves you with 1-x on the left, but 1/x on the right (which could be written as 1/x(1+x)^1/2

Answer 3

if you mean 1-[x*(1+x^2)^-1/2] then it's a no
if you mean (1-x)*[(1+x^2)^-1/2], it's also a no.

I can't see how you got that answer.
The x variable can't jump from the numerator to denominator just like that.

Your answer should be
(1-x)*[(1+x^2)^-1/2] = (1-x) / [(1+x^2)^1/2]
or 1-[x*(1+x^2)^-1/2] = 1- (x / [(1+x^2)^1/2])

whichever's applicable.

The negative power denotes the inverse of the value that you are referring to. (eg: x^-2 = 1/(x^2) )

Do remember to include brackets for further clarity of your question.

Answer 4

if you are doing distributive property it equals 1-x+x^2 to the -1/2 power

Answer 5

not at all

s

Answer 6

yes