Evaluate
65
Factor
5\times 13
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12+11+5+7+1+4+8+7+6+4
Add 3 and 9 to get 12.
23+5+7+1+4+8+7+6+4
Add 12 and 11 to get 23.
28+7+1+4+8+7+6+4
Add 23 and 5 to get 28.
35+1+4+8+7+6+4
Add 28 and 7 to get 35.
36+4+8+7+6+4
Add 35 and 1 to get 36.
40+8+7+6+4
Add 36 and 4 to get 40.
48+7+6+4
Add 40 and 8 to get 48.
55+6+4
Add 48 and 7 to get 55.
61+4
Add 55 and 6 to get 61.
65
Add 61 and 4 to get 65.
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}