Evaluate
2x^{3}+3x-\frac{2}{x}
Expand
2x^{3}+3x-\frac{2}{x}
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\left(x^{2}+2\right)\left(\frac{2xx}{x}-\frac{1}{x}\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply 2x times \frac{x}{x}.
\left(x^{2}+2\right)\times \frac{2xx-1}{x}
Since \frac{2xx}{x} and \frac{1}{x} have the same denominator, subtract them by subtracting their numerators.
\left(x^{2}+2\right)\times \frac{2x^{2}-1}{x}
Do the multiplications in 2xx-1.
\frac{\left(x^{2}+2\right)\left(2x^{2}-1\right)}{x}
Express \left(x^{2}+2\right)\times \frac{2x^{2}-1}{x} as a single fraction.
\frac{2x^{4}+3x^{2}-2}{x}
Use the distributive property to multiply x^{2}+2 by 2x^{2}-1 and combine like terms.
\left(x^{2}+2\right)\left(\frac{2xx}{x}-\frac{1}{x}\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply 2x times \frac{x}{x}.
\left(x^{2}+2\right)\times \frac{2xx-1}{x}
Since \frac{2xx}{x} and \frac{1}{x} have the same denominator, subtract them by subtracting their numerators.
\left(x^{2}+2\right)\times \frac{2x^{2}-1}{x}
Do the multiplications in 2xx-1.
\frac{\left(x^{2}+2\right)\left(2x^{2}-1\right)}{x}
Express \left(x^{2}+2\right)\times \frac{2x^{2}-1}{x} as a single fraction.
\frac{2x^{4}+3x^{2}-2}{x}
Use the distributive property to multiply x^{2}+2 by 2x^{2}-1 and combine like terms.
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}