Evaluate
\frac{\left(x^{\frac{5}{2}}-x^{\frac{3}{2}}+2\right)^{6}}{x^{3}}
Expand
x^{12}-6x^{11}+15x^{10}+12x^{\frac{19}{2}}-20x^{9}-60x^{\frac{17}{2}}+15x^{8}+120x^{\frac{15}{2}}+54x^{7}-120x^{\frac{13}{2}}-239x^{6}+60x^{\frac{11}{2}}+360x^{5}+148x^{\frac{9}{2}}-240x^{4}-480x^{\frac{7}{2}}+60x^{3}+480x^{\frac{5}{2}}+240x^{2}-160x^{\frac{3}{2}}-480x+240+\frac{192}{\sqrt{x}}-\frac{192}{x^{\frac{3}{2}}}+\frac{64}{x^{3}}
Graph
Share
Copied to clipboard
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}