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\frac{2\left(a-2\right)\left(a+2\right)}{a+2}-a
Factor the expressions that are not already factored in \frac{2a^{2}-8}{a+2}.
2\left(a-2\right)-a
Cancel out a+2 in both numerator and denominator.
2a-4-a
Expand the expression.
a-4
Combine 2a and -a to get a.
\frac{2\left(a-2\right)\left(a+2\right)}{a+2}-a
Factor the expressions that are not already factored in \frac{2a^{2}-8}{a+2}.
2\left(a-2\right)-a
Cancel out a+2 in both numerator and denominator.
2a-4-a
Expand the expression.
a-4
Combine 2a and -a to get a.