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\frac{1}{a-b}-\frac{1}{a-b}
Rewrite \left(a-b\right)^{2} as \left(a-b\right)\left(a-b\right). Cancel out a-b in both numerator and denominator.
0
Subtract \frac{1}{a-b} from \frac{1}{a-b} to get 0.