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A^{2}-2A+1-B^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(A-1\right)^{2}.
A^{2}-2A+1-B^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(A-1\right)^{2}.