Evaluate
\frac{g-3}{8\left(g-2\right)}
Expand
\frac{g-3}{8\left(g-2\right)}
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\frac{\left(g+9\right)\left(g-3\right)}{\left(g-2\right)\left(8g+72\right)}
Divide \frac{g+9}{g-2} by \frac{8g+72}{g-3} by multiplying \frac{g+9}{g-2} by the reciprocal of \frac{8g+72}{g-3}.
\frac{\left(g-3\right)\left(g+9\right)}{8\left(g-2\right)\left(g+9\right)}
Factor the expressions that are not already factored.
\frac{g-3}{8\left(g-2\right)}
Cancel out g+9 in both numerator and denominator.
\frac{g-3}{8g-16}
Expand the expression.
\frac{\left(g+9\right)\left(g-3\right)}{\left(g-2\right)\left(8g+72\right)}
Divide \frac{g+9}{g-2} by \frac{8g+72}{g-3} by multiplying \frac{g+9}{g-2} by the reciprocal of \frac{8g+72}{g-3}.
\frac{\left(g-3\right)\left(g+9\right)}{8\left(g-2\right)\left(g+9\right)}
Factor the expressions that are not already factored.
\frac{g-3}{8\left(g-2\right)}
Cancel out g+9 in both numerator and denominator.
\frac{g-3}{8g-16}
Expand the expression.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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