Evaluate
-\frac{1}{2}=-0.5
Factor
-\frac{1}{2} = -0.5
Graph
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\frac{\left(81-x^{2}\right)\times 3x}{\left(6x-54\right)\left(x^{2}+9x\right)}
Divide \frac{81-x^{2}}{6x-54} by \frac{x^{2}+9x}{3x} by multiplying \frac{81-x^{2}}{6x-54} by the reciprocal of \frac{x^{2}+9x}{3x}.
\frac{3x\left(x-9\right)\left(-x-9\right)}{6x\left(x-9\right)\left(x+9\right)}
Factor the expressions that are not already factored.
\frac{-3x\left(x-9\right)\left(x+9\right)}{6x\left(x-9\right)\left(x+9\right)}
Extract the negative sign in -9-x.
\frac{-1}{2}
Cancel out 3x\left(x-9\right)\left(x+9\right) in both numerator and denominator.
-\frac{1}{2}
Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.
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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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