Evaluate
\frac{x^{4}}{4}+x^{3}+\frac{13x^{2}}{4}+3x+3457
Expand
\frac{x^{4}}{4}+x^{3}+\frac{13x^{2}}{4}+3x+3457
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\frac{x^{4}+4x^{3}+6x^{2}+4x+1+13824+7x^{2}+8x+3}{4}
Calculate 24 to the power of 3 and get 13824.
\frac{x^{4}+4x^{3}+6x^{2}+4x+13825+7x^{2}+8x+3}{4}
Add 1 and 13824 to get 13825.
\frac{x^{4}+4x^{3}+13x^{2}+4x+13825+8x+3}{4}
Combine 6x^{2} and 7x^{2} to get 13x^{2}.
\frac{x^{4}+4x^{3}+13x^{2}+12x+13825+3}{4}
Combine 4x and 8x to get 12x.
\frac{x^{4}+4x^{3}+13x^{2}+12x+13828}{4}
Add 13825 and 3 to get 13828.
\frac{x^{4}+4x^{3}+6x^{2}+4x+1+13824+7x^{2}+8x+3}{4}
Calculate 24 to the power of 3 and get 13824.
\frac{x^{4}+4x^{3}+6x^{2}+4x+13825+7x^{2}+8x+3}{4}
Add 1 and 13824 to get 13825.
\frac{x^{4}+4x^{3}+13x^{2}+4x+13825+8x+3}{4}
Combine 6x^{2} and 7x^{2} to get 13x^{2}.
\frac{x^{4}+4x^{3}+13x^{2}+12x+13825+3}{4}
Combine 4x and 8x to get 12x.
\frac{x^{4}+4x^{3}+13x^{2}+12x+13828}{4}
Add 13825 and 3 to get 13828.
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}