Evaluate
240
Factor
2^{4}\times 3\times 5
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72+56+42+30+20+12+6+2
Multiply 9 and 8 to get 72. Multiply 8 and 7 to get 56. Multiply 7 and 6 to get 42. Multiply 6 and 5 to get 30. Multiply 5 and 4 to get 20. Multiply 4 and 3 to get 12. Multiply 3 and 2 to get 6. Multiply 2 and 1 to get 2.
128+42+30+20+12+6+2
Add 72 and 56 to get 128.
170+30+20+12+6+2
Add 128 and 42 to get 170.
200+20+12+6+2
Add 170 and 30 to get 200.
220+12+6+2
Add 200 and 20 to get 220.
232+6+2
Add 220 and 12 to get 232.
238+2
Add 232 and 6 to get 238.
240
Add 238 and 2 to get 240.
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}