Evaluate
\frac{x^{3}}{7\left(x-9\right)}
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\frac{x^{3}}{7\left(x-9\right)}
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\frac{x^{3}\left(x^{2}+14x+45\right)}{\left(x^{2}-81\right)\left(7x+35\right)}
Divide \frac{x^{3}}{x^{2}-81} by \frac{7x+35}{x^{2}+14x+45} by multiplying \frac{x^{3}}{x^{2}-81} by the reciprocal of \frac{7x+35}{x^{2}+14x+45}.
\frac{\left(x+5\right)\left(x+9\right)x^{3}}{7\left(x-9\right)\left(x+5\right)\left(x+9\right)}
Factor the expressions that are not already factored.
\frac{x^{3}}{7\left(x-9\right)}
Cancel out \left(x+5\right)\left(x+9\right) in both numerator and denominator.
\frac{x^{3}}{7x-63}
Expand the expression.
\frac{x^{3}\left(x^{2}+14x+45\right)}{\left(x^{2}-81\right)\left(7x+35\right)}
Divide \frac{x^{3}}{x^{2}-81} by \frac{7x+35}{x^{2}+14x+45} by multiplying \frac{x^{3}}{x^{2}-81} by the reciprocal of \frac{7x+35}{x^{2}+14x+45}.
\frac{\left(x+5\right)\left(x+9\right)x^{3}}{7\left(x-9\right)\left(x+5\right)\left(x+9\right)}
Factor the expressions that are not already factored.
\frac{x^{3}}{7\left(x-9\right)}
Cancel out \left(x+5\right)\left(x+9\right) in both numerator and denominator.
\frac{x^{3}}{7x-63}
Expand the expression.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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