Evaluate
\frac{1}{\left(x-2\right)\left(x+5\right)}
Expand
\frac{1}{\left(x-2\right)\left(x+5\right)}
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\frac{\left(x-5\right)\left(x+2\right)}{\left(x^{2}-4\right)\left(x^{2}-25\right)}
Divide \frac{x-5}{x^{2}-4} by \frac{x^{2}-25}{x+2} by multiplying \frac{x-5}{x^{2}-4} by the reciprocal of \frac{x^{2}-25}{x+2}.
\frac{\left(x-5\right)\left(x+2\right)}{\left(x-5\right)\left(x-2\right)\left(x+2\right)\left(x+5\right)}
Factor the expressions that are not already factored.
\frac{1}{\left(x-2\right)\left(x+5\right)}
Cancel out \left(x-5\right)\left(x+2\right) in both numerator and denominator.
\frac{1}{x^{2}+3x-10}
Expand the expression.
\frac{\left(x-5\right)\left(x+2\right)}{\left(x^{2}-4\right)\left(x^{2}-25\right)}
Divide \frac{x-5}{x^{2}-4} by \frac{x^{2}-25}{x+2} by multiplying \frac{x-5}{x^{2}-4} by the reciprocal of \frac{x^{2}-25}{x+2}.
\frac{\left(x-5\right)\left(x+2\right)}{\left(x-5\right)\left(x-2\right)\left(x+2\right)\left(x+5\right)}
Factor the expressions that are not already factored.
\frac{1}{\left(x-2\right)\left(x+5\right)}
Cancel out \left(x-5\right)\left(x+2\right) in both numerator and denominator.
\frac{1}{x^{2}+3x-10}
Expand the expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}