\left. \begin{array} { l } { 5 ( 4 ) + 3 ( 6 ) + 2 ( 8 ) } \\ { 20 + 18 + 15 } \end{array} \right.
Sort
53,54
Evaluate
54,\ 53
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sort(20+18+16,20+18+15)
Multiply 5 and 4 to get 20. Multiply 3 and 6 to get 18. Multiply 2 and 8 to get 16.
sort(38+16,20+18+15)
Add 20 and 18 to get 38.
sort(54,20+18+15)
Add 38 and 16 to get 54.
sort(54,38+15)
Add 20 and 18 to get 38.
sort(54,53)
Add 38 and 15 to get 53.
54
To sort the list, start from a single element 54.
53,54
Insert 53 to the appropriate location in the new list.
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
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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}