what is (x-1)^1/2 expanded out so I can multiply it by x^3?

Answer 1

(x-1)^1/2 can not be expanded out to anything other than what it is.

But you can write the two terms so that both of them are raised to the 1/2 power and then you can work with the terms.

First:
x^3 = (x^6)^1/2 (6 * 1/2 equals 3)

Now you have
(x-1)^1/2 * (x^6)^1/2

Regroup:
[(x-1)(x^6)]^1/2

Now multiply the stuff inside the brackets.
(x-1)(x^6) = x^7 - x^6

Replace stuff in the bracket with the product that you just found.
(x^7 - x^6)^1/2

Hope this helps. Good Luck. :)

Answer 2

(        x       -      1       )      ^      1      /       2
  

Answer 3

There is absolutely nothing you can do to simplify this

x^3(x-1)^1/2 is all. the other answer is nonsense.

Answer 4

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

x^3 = x^6/2

x^6/2*(x-1)^1/2 = x^7/2-x^6/2 = sqrt(x^7-x^6)