Evaluate
\frac{x-2}{x+9}
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\frac{x-2}{x+9}
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\frac{\left(x^{2}-3x-54\right)\left(x^{2}-4\right)}{\left(x^{2}+8x+12\right)\left(x^{2}-81\right)}
Divide \frac{x^{2}-3x-54}{x^{2}+8x+12} by \frac{x^{2}-81}{x^{2}-4} by multiplying \frac{x^{2}-3x-54}{x^{2}+8x+12} by the reciprocal of \frac{x^{2}-81}{x^{2}-4}.
\frac{\left(x-9\right)\left(x-2\right)\left(x+2\right)\left(x+6\right)}{\left(x-9\right)\left(x+2\right)\left(x+6\right)\left(x+9\right)}
Factor the expressions that are not already factored.
\frac{x-2}{x+9}
Cancel out \left(x-9\right)\left(x+2\right)\left(x+6\right) in both numerator and denominator.
\frac{\left(x^{2}-3x-54\right)\left(x^{2}-4\right)}{\left(x^{2}+8x+12\right)\left(x^{2}-81\right)}
Divide \frac{x^{2}-3x-54}{x^{2}+8x+12} by \frac{x^{2}-81}{x^{2}-4} by multiplying \frac{x^{2}-3x-54}{x^{2}+8x+12} by the reciprocal of \frac{x^{2}-81}{x^{2}-4}.
\frac{\left(x-9\right)\left(x-2\right)\left(x+2\right)\left(x+6\right)}{\left(x-9\right)\left(x+2\right)\left(x+6\right)\left(x+9\right)}
Factor the expressions that are not already factored.
\frac{x-2}{x+9}
Cancel out \left(x-9\right)\left(x+2\right)\left(x+6\right) in both numerator and denominator.
Examples
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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}