Final answer:
The maximum value of x1 * x2 * x3 is 1.
Step-by-step explanation:
The expression (2x)² = 4.0 (1 − x)² can be simplified by taking the square root of both sides. This gives us the equation (2x)(1 - x) = 2. By rearranging and solving, we find that the quadratic equation 2x - 2x² = 0. This equation can be factored as 2x(1 - x) = 0, which means that either 2x = 0 or 1 - x = 0.
Solving the first equation, we find x = 0. Solving the second equation, we find x = 1. Therefore, the maximum value of x for the expression x1 * x2 * x3 is 1.