Evaluate
\frac{250\left(t^{4}-72t^{2}+1620\right)}{81}
Expand
\frac{250t^{4}}{81}-\frac{2000t^{2}}{9}+5000
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\frac{243+7}{81}t^{4}-\frac{222\times 9+2}{9}t^{2}+5000
Multiply 3 and 81 to get 243.
\frac{250}{81}t^{4}-\frac{222\times 9+2}{9}t^{2}+5000
Add 243 and 7 to get 250.
\frac{250}{81}t^{4}-\frac{1998+2}{9}t^{2}+5000
Multiply 222 and 9 to get 1998.
\frac{250}{81}t^{4}-\frac{2000}{9}t^{2}+5000
Add 1998 and 2 to get 2000.
\frac{243+7}{81}t^{4}-\frac{222\times 9+2}{9}t^{2}+5000
Multiply 3 and 81 to get 243.
\frac{250}{81}t^{4}-\frac{222\times 9+2}{9}t^{2}+5000
Add 243 and 7 to get 250.
\frac{250}{81}t^{4}-\frac{1998+2}{9}t^{2}+5000
Multiply 222 and 9 to get 1998.
\frac{250}{81}t^{4}-\frac{2000}{9}t^{2}+5000
Add 1998 and 2 to get 2000.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}