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\frac{2}{7x}
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\frac{2}{7x}
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\frac{6x\left(x-3\right)}{\left(x-3\right)\left(x+2\right)}\times \frac{2+x}{21x^{2}}
Factor the expressions that are not already factored in \frac{6x\left(x-3\right)}{x^{2}-x-6}.
\frac{6x}{x+2}\times \frac{2+x}{21x^{2}}
Cancel out x-3 in both numerator and denominator.
\frac{6x\left(2+x\right)}{\left(x+2\right)\times 21x^{2}}
Multiply \frac{6x}{x+2} times \frac{2+x}{21x^{2}} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{7x}
Cancel out 3x\left(x+2\right) in both numerator and denominator.
\frac{6x\left(x-3\right)}{\left(x-3\right)\left(x+2\right)}\times \frac{2+x}{21x^{2}}
Factor the expressions that are not already factored in \frac{6x\left(x-3\right)}{x^{2}-x-6}.
\frac{6x}{x+2}\times \frac{2+x}{21x^{2}}
Cancel out x-3 in both numerator and denominator.
\frac{6x\left(2+x\right)}{\left(x+2\right)\times 21x^{2}}
Multiply \frac{6x}{x+2} times \frac{2+x}{21x^{2}} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{7x}
Cancel out 3x\left(x+2\right) in both numerator and denominator.
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y = 3x + 4
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Matrix
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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}