Evaluate
\frac{9x}{8\left(x+6\right)}
Expand
\frac{9x}{8\left(x+6\right)}
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\frac{\left(x^{2}-9\right)\times 9x}{\left(x^{2}+9x+18\right)\left(8x-24\right)}
Divide \frac{x^{2}-9}{x^{2}+9x+18} by \frac{8x-24}{9x} by multiplying \frac{x^{2}-9}{x^{2}+9x+18} by the reciprocal of \frac{8x-24}{9x}.
\frac{9x\left(x-3\right)\left(x+3\right)}{8\left(x-3\right)\left(x+3\right)\left(x+6\right)}
Factor the expressions that are not already factored.
\frac{9x}{8\left(x+6\right)}
Cancel out \left(x-3\right)\left(x+3\right) in both numerator and denominator.
\frac{9x}{8x+48}
Expand the expression.
\frac{\left(x^{2}-9\right)\times 9x}{\left(x^{2}+9x+18\right)\left(8x-24\right)}
Divide \frac{x^{2}-9}{x^{2}+9x+18} by \frac{8x-24}{9x} by multiplying \frac{x^{2}-9}{x^{2}+9x+18} by the reciprocal of \frac{8x-24}{9x}.
\frac{9x\left(x-3\right)\left(x+3\right)}{8\left(x-3\right)\left(x+3\right)\left(x+6\right)}
Factor the expressions that are not already factored.
\frac{9x}{8\left(x+6\right)}
Cancel out \left(x-3\right)\left(x+3\right) in both numerator and denominator.
\frac{9x}{8x+48}
Expand the expression.
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Simultaneous equation
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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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