$\begin{array}{l}=[(1-\lambda)(1-\lambda)(2-\lambda)+00] \\ -[4(1-\lambda)+0(1-\lambda)+0 .(2-\lambda)]\end{array}$

Step 1 ：Given the expression \([(1-\lambda)(1-\lambda)(2-\lambda)+00] -[4(1-\lambda)+0(1-\lambda)+0 .(2-\lambda)]\), we need to simplify and solve it.

Step 2 ：First, we simplify the first part of the expression, \([(1-\lambda)(1-\lambda)(2-\lambda)+00]\), which simplifies to \((2 - \lambda)(\lambda - 1)^2\).

Step 3 ：Next, we simplify the second part of the expression, \([4(1-\lambda)+0(1-\lambda)+0 .(2-\lambda)]\), which simplifies to \(4 - 4\lambda\).

Step 4 ：Then, we subtract the second expression from the first, resulting in \(4\lambda + (2 - \lambda)(\lambda - 1)^2 - 4\).

Step 5 ：Thus, the final simplified expression is \(\boxed{4\lambda + (2 - \lambda)(\lambda - 1)^2 - 4}\).