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\frac{g-8}{g+5}
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\frac{g-8}{g+5}
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\frac{\left(g-6\right)\left(g-3\right)}{\left(g-3\right)\left(g+5\right)}-\frac{2}{g+5}
Factor the expressions that are not already factored in \frac{g^{2}-9g+18}{g^{2}+2g-15}.
\frac{g-6}{g+5}-\frac{2}{g+5}
Cancel out g-3 in both numerator and denominator.
\frac{g-6-2}{g+5}
Since \frac{g-6}{g+5} and \frac{2}{g+5} have the same denominator, subtract them by subtracting their numerators.
\frac{g-8}{g+5}
Combine like terms in g-6-2.
\frac{\left(g-6\right)\left(g-3\right)}{\left(g-3\right)\left(g+5\right)}-\frac{2}{g+5}
Factor the expressions that are not already factored in \frac{g^{2}-9g+18}{g^{2}+2g-15}.
\frac{g-6}{g+5}-\frac{2}{g+5}
Cancel out g-3 in both numerator and denominator.
\frac{g-6-2}{g+5}
Since \frac{g-6}{g+5} and \frac{2}{g+5} have the same denominator, subtract them by subtracting their numerators.
\frac{g-8}{g+5}
Combine like terms in g-6-2.
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