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\frac{6\left(x-6\right)\left(x+6\right)x^{2}}{\left(x-6\right)\left(x+1\right)}\times \frac{x^{2}+10x+9}{3x^{2}+45x+162}
Factor the expressions that are not already factored in \frac{6x^{4}-216x^{2}}{x^{2}-5x-6}.
\frac{6\left(x+6\right)x^{2}}{x+1}\times \frac{x^{2}+10x+9}{3x^{2}+45x+162}
Cancel out x-6 in both numerator and denominator.
\frac{6\left(x+6\right)x^{2}}{x+1}\times \frac{\left(x+1\right)\left(x+9\right)}{3\left(x+6\right)\left(x+9\right)}
Factor the expressions that are not already factored in \frac{x^{2}+10x+9}{3x^{2}+45x+162}.
\frac{6\left(x+6\right)x^{2}}{x+1}\times \frac{x+1}{3\left(x+6\right)}
Cancel out x+9 in both numerator and denominator.
\frac{6\left(x+6\right)x^{2}\left(x+1\right)}{\left(x+1\right)\times 3\left(x+6\right)}
Multiply \frac{6\left(x+6\right)x^{2}}{x+1} times \frac{x+1}{3\left(x+6\right)} by multiplying numerator times numerator and denominator times denominator.
2x^{2}
Cancel out 3\left(x+1\right)\left(x+6\right) in both numerator and denominator.
\frac{6\left(x-6\right)\left(x+6\right)x^{2}}{\left(x-6\right)\left(x+1\right)}\times \frac{x^{2}+10x+9}{3x^{2}+45x+162}
Factor the expressions that are not already factored in \frac{6x^{4}-216x^{2}}{x^{2}-5x-6}.
\frac{6\left(x+6\right)x^{2}}{x+1}\times \frac{x^{2}+10x+9}{3x^{2}+45x+162}
Cancel out x-6 in both numerator and denominator.
\frac{6\left(x+6\right)x^{2}}{x+1}\times \frac{\left(x+1\right)\left(x+9\right)}{3\left(x+6\right)\left(x+9\right)}
Factor the expressions that are not already factored in \frac{x^{2}+10x+9}{3x^{2}+45x+162}.
\frac{6\left(x+6\right)x^{2}}{x+1}\times \frac{x+1}{3\left(x+6\right)}
Cancel out x+9 in both numerator and denominator.
\frac{6\left(x+6\right)x^{2}\left(x+1\right)}{\left(x+1\right)\times 3\left(x+6\right)}
Multiply \frac{6\left(x+6\right)x^{2}}{x+1} times \frac{x+1}{3\left(x+6\right)} by multiplying numerator times numerator and denominator times denominator.
2x^{2}
Cancel out 3\left(x+1\right)\left(x+6\right) in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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}