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\frac{2\left(u+v\right)}{2\left(u+v\right)\left(u-v\right)}
Factor the expressions that are not already factored.
\frac{1}{u-v}
Cancel out 2\left(u+v\right) in both numerator and denominator.
\frac{2\left(u+v\right)}{2\left(u+v\right)\left(u-v\right)}
Factor the expressions that are not already factored.
\frac{1}{u-v}
Cancel out 2\left(u+v\right) in both numerator and denominator.