Factor
\frac{\sqrt{x}\left(x+4\sqrt{x}+2\right)}{2}
Evaluate
\frac{x^{\frac{3}{2}}}{2}+2x+\sqrt{x}
Graph
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factor(2x+\sqrt{x}+\frac{x^{2}}{2\sqrt{x}})
Factor the expressions that are not already factored in \frac{x^{2}}{2\sqrt{x}}.
factor(2x+\sqrt{x}+\frac{x^{\frac{3}{2}}}{2})
Cancel out \sqrt{x} in both numerator and denominator.
\frac{4x+2\sqrt{x}+x^{\frac{3}{2}}}{2}
Factor out \frac{1}{2}.
\sqrt{x}\left(4\sqrt{x}+2+x\right)
Consider 4x+2\sqrt{x}+x^{\frac{3}{2}}. Factor out \sqrt{x}.
\frac{\sqrt{x}\left(4\sqrt{x}+2+x\right)}{2}
Rewrite the complete factored expression.
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
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