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6x^{3}
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6x^{3}
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\frac{3x^{3}}{4}\times \frac{8x\left(x-6\right)}{x\left(x-6\right)}
Factor the expressions that are not already factored in \frac{8x^{2}-48x}{x^{2}-6x}.
\frac{3x^{3}}{4}\times 8
Cancel out x\left(x-6\right) in both numerator and denominator.
2\times 3x^{3}
Cancel out 4, the greatest common factor in 8 and 4.
6x^{3}
Multiply 2 and 3 to get 6.
\frac{3x^{3}}{4}\times \frac{8x\left(x-6\right)}{x\left(x-6\right)}
Factor the expressions that are not already factored in \frac{8x^{2}-48x}{x^{2}-6x}.
\frac{3x^{3}}{4}\times 8
Cancel out x\left(x-6\right) in both numerator and denominator.
2\times 3x^{3}
Cancel out 4, the greatest common factor in 8 and 4.
6x^{3}
Multiply 2 and 3 to get 6.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
Arithmetic
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}