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a+b-\frac{\left(a+b\right)\left(a-b\right)}{a-b}
Factor the expressions that are not already factored in \frac{a^{2}-b^{2}}{a-b}.
a+b-\left(a+b\right)
Cancel out a-b in both numerator and denominator.
a+b-a-b
To find the opposite of a+b, find the opposite of each term.
b-b
Combine a and -a to get 0.
0
Combine b and -b to get 0.