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