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\frac{x+2}{x}
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\frac{x+2}{x}
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\frac{\left(x^{2}+12x+27\right)\left(x^{2}+6x+8\right)}{\left(x^{2}+13x+36\right)\left(x^{2}+3x\right)}
Divide \frac{x^{2}+12x+27}{x^{2}+13x+36} by \frac{x^{2}+3x}{x^{2}+6x+8} by multiplying \frac{x^{2}+12x+27}{x^{2}+13x+36} by the reciprocal of \frac{x^{2}+3x}{x^{2}+6x+8}.
\frac{\left(x+2\right)\left(x+3\right)\left(x+4\right)\left(x+9\right)}{x\left(x+3\right)\left(x+4\right)\left(x+9\right)}
Factor the expressions that are not already factored.
\frac{x+2}{x}
Cancel out \left(x+3\right)\left(x+4\right)\left(x+9\right) in both numerator and denominator.
\frac{\left(x^{2}+12x+27\right)\left(x^{2}+6x+8\right)}{\left(x^{2}+13x+36\right)\left(x^{2}+3x\right)}
Divide \frac{x^{2}+12x+27}{x^{2}+13x+36} by \frac{x^{2}+3x}{x^{2}+6x+8} by multiplying \frac{x^{2}+12x+27}{x^{2}+13x+36} by the reciprocal of \frac{x^{2}+3x}{x^{2}+6x+8}.
\frac{\left(x+2\right)\left(x+3\right)\left(x+4\right)\left(x+9\right)}{x\left(x+3\right)\left(x+4\right)\left(x+9\right)}
Factor the expressions that are not already factored.
\frac{x+2}{x}
Cancel out \left(x+3\right)\left(x+4\right)\left(x+9\right) in both numerator and denominator.
Examples
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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
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Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}