To simplify the given expression, we need to first expand the terms:

(2x - 1)(2x + 1) x(1 - x)

= (4x^2 - 1) * (x - x^2)

Now, multiply these two terms:

= 4x^3 - 4x^2 - x + x^2

Rearrange the terms:

= 4x^3 - 3x^2 - x

Factor out a common factor of x:

= x(4x^2 - 3x - 1)

Now, we can simplify the expression:

= x(4x - 1)(x + 1)

Thus, (2x - 1)(2x + 1) x(1 - x) = 2x(x + 1)