8 \div 4+ { \left(4-16 \div 8 \right) }^{ 2 } +(10 \div 5+45 \div 9
Evaluate
13
Factor
13
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2+\left(4-\frac{16}{8}\right)^{2}+\frac{10}{5}+\frac{45}{9}
Divide 8 by 4 to get 2.
2+\left(4-2\right)^{2}+\frac{10}{5}+\frac{45}{9}
Divide 16 by 8 to get 2.
2+2^{2}+\frac{10}{5}+\frac{45}{9}
Subtract 2 from 4 to get 2.
2+4+\frac{10}{5}+\frac{45}{9}
Calculate 2 to the power of 2 and get 4.
6+\frac{10}{5}+\frac{45}{9}
Add 2 and 4 to get 6.
6+2+\frac{45}{9}
Divide 10 by 5 to get 2.
8+\frac{45}{9}
Add 6 and 2 to get 8.
8+5
Divide 45 by 9 to get 5.
13
Add 8 and 5 to get 13.
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}