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\frac{b^{2}-64}{b+8}
Since \frac{b^{2}}{b+8} and \frac{64}{b+8} have the same denominator, subtract them by subtracting their numerators.
\frac{\left(b-8\right)\left(b+8\right)}{b+8}
Factor the expressions that are not already factored in \frac{b^{2}-64}{b+8}.
b-8
Cancel out b+8 in both numerator and denominator.