Evaluate
-\frac{\left(x+2\right)\left(x-1\right)^{2}}{x^{3}}
Expand
-1+\frac{3}{x^{2}}-\frac{2}{x^{3}}
Graph
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-1+\frac{x\left(3x-2\right)}{x^{4}}
Factor the expressions that are not already factored in \frac{3x^{2}-2x}{x^{4}}.
-1+\frac{3x-2}{x^{3}}
Cancel out x in both numerator and denominator.
-\frac{x^{3}}{x^{3}}+\frac{3x-2}{x^{3}}
To add or subtract expressions, expand them to make their denominators the same. Multiply -1 times \frac{x^{3}}{x^{3}}.
\frac{-x^{3}+3x-2}{x^{3}}
Since -\frac{x^{3}}{x^{3}} and \frac{3x-2}{x^{3}} have the same denominator, add them by adding their numerators.
-1+\frac{x\left(3x-2\right)}{x^{4}}
Factor the expressions that are not already factored in \frac{3x^{2}-2x}{x^{4}}.
-1+\frac{3x-2}{x^{3}}
Cancel out x in both numerator and denominator.
-\frac{x^{3}}{x^{3}}+\frac{3x-2}{x^{3}}
To add or subtract expressions, expand them to make their denominators the same. Multiply -1 times \frac{x^{3}}{x^{3}}.
\frac{-x^{3}+3x-2}{x^{3}}
Since -\frac{x^{3}}{x^{3}} and \frac{3x-2}{x^{3}} have the same denominator, add them by adding their numerators.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}