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\frac{a+b}{\left(a+b\right)^{2}}
Multiply a+b and a+b to get \left(a+b\right)^{2}.
\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.
\frac{a+b}{\left(a+b\right)^{2}}
Multiply a+b and a+b to get \left(a+b\right)^{2}.
\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.