Evaluate
\frac{748}{9}\approx 83.111111111
Factor
\frac{2 ^ {2} \cdot 11 \cdot 17}{3 ^ {2}} = 83\frac{1}{9} = 83.11111111111111
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\frac{2310+1430+0\times 79+0\times 78}{45}
Multiply 15 and 154 to get 2310. Multiply 10 and 143 to get 1430. Multiply 16 and 0 to get 0. Multiply 4 and 0 to get 0.
\frac{3740+0\times 79+0\times 78}{45}
Add 2310 and 1430 to get 3740.
\frac{3740+0+0\times 78}{45}
Multiply 0 and 79 to get 0.
\frac{3740+0\times 78}{45}
Add 3740 and 0 to get 3740.
\frac{3740+0}{45}
Multiply 0 and 78 to get 0.
\frac{3740}{45}
Add 3740 and 0 to get 3740.
\frac{748}{9}
Reduce the fraction \frac{3740}{45} to lowest terms by extracting and canceling out 5.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}