Evaluate
-\frac{x^{6}+x^{4}+2}{\left(x^{2}+1\right)x^{3}}
Expand
-\frac{x^{6}+x^{4}+2}{x^{5}+x^{3}}
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\frac{2\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)\left(-x^{2}-1\right)x^{3}}-x
Factor the expressions that are not already factored in \frac{2x^{2}-2}{x^{3}-x^{7}}.
\frac{2}{\left(-x^{2}-1\right)x^{3}}-x
Cancel out \left(x-1\right)\left(x+1\right) in both numerator and denominator.
\frac{2}{\left(-x^{2}-1\right)x^{3}}-\frac{x\left(-x^{2}-1\right)x^{3}}{\left(-x^{2}-1\right)x^{3}}
To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{\left(-x^{2}-1\right)x^{3}}{\left(-x^{2}-1\right)x^{3}}.
\frac{2-x\left(-x^{2}-1\right)x^{3}}{\left(-x^{2}-1\right)x^{3}}
Since \frac{2}{\left(-x^{2}-1\right)x^{3}} and \frac{x\left(-x^{2}-1\right)x^{3}}{\left(-x^{2}-1\right)x^{3}} have the same denominator, subtract them by subtracting their numerators.
\frac{2+x^{6}+x^{4}}{\left(-x^{2}-1\right)x^{3}}
Do the multiplications in 2-x\left(-x^{2}-1\right)x^{3}.
\frac{2+x^{6}+x^{4}}{-x^{5}-x^{3}}
Expand \left(-x^{2}-1\right)x^{3}.
\frac{2\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)\left(-x^{2}-1\right)x^{3}}-x
Factor the expressions that are not already factored in \frac{2x^{2}-2}{x^{3}-x^{7}}.
\frac{2}{\left(-x^{2}-1\right)x^{3}}-x
Cancel out \left(x-1\right)\left(x+1\right) in both numerator and denominator.
\frac{2}{\left(-x^{2}-1\right)x^{3}}-\frac{x\left(-x^{2}-1\right)x^{3}}{\left(-x^{2}-1\right)x^{3}}
To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{\left(-x^{2}-1\right)x^{3}}{\left(-x^{2}-1\right)x^{3}}.
\frac{2-x\left(-x^{2}-1\right)x^{3}}{\left(-x^{2}-1\right)x^{3}}
Since \frac{2}{\left(-x^{2}-1\right)x^{3}} and \frac{x\left(-x^{2}-1\right)x^{3}}{\left(-x^{2}-1\right)x^{3}} have the same denominator, subtract them by subtracting their numerators.
\frac{2+x^{6}+x^{4}}{\left(-x^{2}-1\right)x^{3}}
Do the multiplications in 2-x\left(-x^{2}-1\right)x^{3}.
\frac{2+x^{6}+x^{4}}{-x^{5}-x^{3}}
Expand \left(-x^{2}-1\right)x^{3}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}