Evaluate
\frac{\left(2y^{3}+1\right)^{15}}{y^{30}}
Expand
32768y^{15}+245760y^{12}+860160y^{9}+1863680y^{6}+2795520y^{3}+3075072+\frac{2562560}{y^{3}}+\frac{1647360}{y^{6}}+\frac{823680}{y^{9}}+\frac{320320}{y^{12}}+\frac{96096}{y^{15}}+\frac{21840}{y^{18}}+\frac{3640}{y^{21}}+\frac{420}{y^{24}}+\frac{30}{y^{27}}+\frac{1}{y^{30}}
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}