{Vx  -2 / x-1 - Vx  +2 / x +2Vx  +1 } . (1-x)^2 / 2

To simplify the expression you've provided, it appears that you are writing a mathematical expression, but it's a bit complex and unclear due to the formatting. It seems like it might involve square roots, fractions, and some variable \( x \).

Let's break down the expression step by step. Based on your notation, it looks like:

\[
\left( \frac{\sqrt{x} - 2}{x - 1} - \frac{\sqrt{x} + 2}{x + 2} \right) \cdot \frac{(1-x)^2}{2} \cdot \left( \frac{\sqrt{x} - 2}{x - 1} - \frac{\sqrt{x} + 2}{x + 2} \right) \cdot \frac{(1-x)^2}{2}
\]

If that is the correct interpretation, the first step is to simplify the expression within the first set of parentheses.

### Step 1: Simplifying
Let:

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

You can combine the fractions for \( A \):

1. The common denominator for the two fractions is \( (x-1)(x+2) \).
2. Rewrite \( A \) with this common denominator:

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

Now calculate the numerator:

\[
(\sqrt{x} - 2)(x + 2) = x\sqrt{x} + 2\sqrt{x} - 2x - 4
\]
\[
(\sqrt{x} + 2)(x - 1) = x\sqrt{x} - \sqrt{x} + 2x - 2
\]

Now, combine those results:

\[
A = \frac{x\sqrt{x} + 2\sqrt{x} - 2x - 4 - (x\sqrt{x} - \sqrt{x} + 2x - 2)}{(x-1)(x+2)}
\]

Simplifying further should give you:

\[
A = \frac{3\sqrt{x} - 2}{(x-1)(x+2)}
\]

### Step 2: Substituting back into the original expression
Now substitute \( A \) back into the original expression and square it, also including the factors of \( \frac{(1-x)^2}{2} \).

So, the expression becomes:

\[
\left( \frac{3\sqrt{x} - 2}{(x-1)(x+2)} \right)^2 \cdot \left( \frac{(1-x)^2}{2} \right)^2
\]

Performing the multiplication:

\[
= \frac{(3\sqrt{x} - 2)^2 (1-x)^4}{4 (x-1)^2 (x+2)^2}
\]

### Final Result
Thus, the simplified form of the expression is:

\[
\frac{(3\sqrt{x} - 2)^2 (1-x)^4}{4 (x-1)^2 (x+2)^2}
\]

Please check the assumptions and calculations to ensure this aligns with your original intent for the expression!