B \( \left.-32^{2}-3 x\right)^{2}-(2-3 x)(1-x) \)

Let's break down the given expression step by step to ensure we have a clear understanding. First, we can rewrite the expression as: \[ B = \left(-32^{2}-3x\right)^{2} - (2-3x)(1-x) \] Calculating \(32^2\) gives us \(1024\), so the expression becomes: \[ B = \left(-1024 - 3x\right)^{2} - (2-3x)(1-x) \] Now for the details on further simplifications: To simplify \(\left(-1024 - 3x\right)^{2}\), remember it is a perfect square, so you just expand it: \[ \left(-1024 - 3x\right)^{2} = (1024 + 3x)^{2} = 1024^{2} + 2 \cdot 1024 \cdot 3x + (3x)^{2} = 1048576 + 6144x + 9x^2 \] Now, dealing with the second part \((2 - 3x)(1 - x)\): Expanding this results in: \[ 2 - 2x - 3x + 3x^2 = 2 - 5x + 3x^2 \] Putting everything together: \[ B = (1048576 + 6144x + 9x^2) - (2 - 5x + 3x^{2}) \] When you combine like terms, ensure to properly subtract the second expression from the first. Let me know if you need further assistance with solving or simplifying the expression!