1. The problem appears to involve simplifying or manipulating the expression $A^2 - B$. 2. To proceed, we need to clarify the operation or goal, but assuming simplification or factorization, recall that $A^2 - B$ is a difference of squares if $B = C^2$ for some $C$. 3. The difference of squares formula is $$A^2 - C^2 = (A - C)(A + C)$$. 4. Without additional information about $B$, we cannot factor further. If $B$ is not a perfect square, the expression remains as is. 5. If the problem involves division or other operations, please clarify.