Evaluate
x^{3}-2x^{2}-5x-3+\frac{6}{x}
Factor
\frac{x^{4}-2x^{3}-5x^{2}-3x+6}{x}
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\frac{\left(x^{3}-2x^{2}-5x-3\right)x}{x}+\frac{6}{x}
To add or subtract expressions, expand them to make their denominators the same. Multiply x^{3}-2x^{2}-5x-3 times \frac{x}{x}.
\frac{\left(x^{3}-2x^{2}-5x-3\right)x+6}{x}
Since \frac{\left(x^{3}-2x^{2}-5x-3\right)x}{x} and \frac{6}{x} have the same denominator, add them by adding their numerators.
\frac{x^{4}-2x^{3}-5x^{2}-3x+6}{x}
Do the multiplications in \left(x^{3}-2x^{2}-5x-3\right)x+6.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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
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