Evaluate
\frac{x+2}{x-1}
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\frac{x+2}{x-1}
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\frac{x^{2}+2x-\left(x+2\right)}{x^{2}-2x+1}
Since \frac{x^{2}+2x}{x^{2}-2x+1} and \frac{x+2}{x^{2}-2x+1} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{2}+2x-x-2}{x^{2}-2x+1}
Do the multiplications in x^{2}+2x-\left(x+2\right).
\frac{x^{2}+x-2}{x^{2}-2x+1}
Combine like terms in x^{2}+2x-x-2.
\frac{\left(x-1\right)\left(x+2\right)}{\left(x-1\right)^{2}}
Factor the expressions that are not already factored in \frac{x^{2}+x-2}{x^{2}-2x+1}.
\frac{x+2}{x-1}
Cancel out x-1 in both numerator and denominator.
\frac{x^{2}+2x-\left(x+2\right)}{x^{2}-2x+1}
Since \frac{x^{2}+2x}{x^{2}-2x+1} and \frac{x+2}{x^{2}-2x+1} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{2}+2x-x-2}{x^{2}-2x+1}
Do the multiplications in x^{2}+2x-\left(x+2\right).
\frac{x^{2}+x-2}{x^{2}-2x+1}
Combine like terms in x^{2}+2x-x-2.
\frac{\left(x-1\right)\left(x+2\right)}{\left(x-1\right)^{2}}
Factor the expressions that are not already factored in \frac{x^{2}+x-2}{x^{2}-2x+1}.
\frac{x+2}{x-1}
Cancel out x-1 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}