Evaluate
6
Factor
2\times 3
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6-\frac{3}{2}+\frac{3}{2\sqrt{\left(1+2\times 0\right)^{5}}}
Add 3 and 3 to get 6.
\frac{9}{2}+\frac{3}{2\sqrt{\left(1+2\times 0\right)^{5}}}
Subtract \frac{3}{2} from 6 to get \frac{9}{2}.
\frac{9}{2}+\frac{3}{2\sqrt{\left(1+0\right)^{5}}}
Multiply 2 and 0 to get 0.
\frac{9}{2}+\frac{3}{2\sqrt{1^{5}}}
Add 1 and 0 to get 1.
\frac{9}{2}+\frac{3}{2\sqrt{1}}
Calculate 1 to the power of 5 and get 1.
\frac{9}{2}+\frac{3}{2\times 1}
Calculate the square root of 1 and get 1.
\frac{9}{2}+\frac{3}{2}
Multiply 2 and 1 to get 2.
6
Add \frac{9}{2} and \frac{3}{2} to get 6.
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
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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}