f(x)=х^3 - 6х^2 + 12х , А=2-√2^3

To analyze the function \( f(x) = x^3 - 6x^2 + 12x \) and find \( A = 2 - \sqrt{2^3} \), let’s first calculate \( A \).

1. Calculate \( \sqrt{2^3} \): \[ 2^3 = 8 \quad \Rightarrow \quad \sqrt{8} = 2\sqrt{2} \]

2. Calculate \( A \): \[ A = 2 - 2\sqrt{2} \]

Next, we can analyze the function \( f(x) = x^3 - 6x^2 + 12x \) further if needed. Would you like to find its critical points, analyze its behavior, or do something else with it?