The value of ∣∣∣∣∣1+ww2−w1+w2w−w2w2+ww−w2∣∣∣∣∣ is equal to

The given expression is a complex number in the form of a fraction. To simplify this, we can follow these steps:

1. Separate the expression into real and imaginary parts:

   Real part: 1/(w^2 - w) + w/(w^2 + w)

   Imaginary part: w^2/(w^2 - w) - w^2/(w^2 + w)

2. Simplify each part:

   Real part: 1/(w(w - 1)) + w/(w(w + 1))

   Imaginary part: w^2/(w(w - 1)) - w^2/(w(w + 1))

3. Combine like terms:

   Real part: (1 + w^2)/(w^2 - w^2) = (1 + w^2)/0

   Imaginary part: (w^2 - w^2)/(w^2 - w^2) = 0/0

4. The absolute value of a complex number is the square root of the sum of the squares of its real and imaginary parts. However, as we see here, the real part is undefined (division by zero), and the imaginary part is an indeterminate form (0/0).

Therefore, the absolute value of the given expression cannot be determined.