Evaluate
18
Factor
2\times 3^{2}
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4\left(\frac{8}{4}+\frac{3}{4}\right)+11+7-\frac{5\times 2\times 6}{2}+24-5
Convert 2 to fraction \frac{8}{4}.
4\times \frac{8+3}{4}+11+7-\frac{5\times 2\times 6}{2}+24-5
Since \frac{8}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.
4\times \frac{11}{4}+11+7-\frac{5\times 2\times 6}{2}+24-5
Add 8 and 3 to get 11.
11+11+7-\frac{5\times 2\times 6}{2}+24-5
Cancel out 4 and 4.
22+7-\frac{5\times 2\times 6}{2}+24-5
Add 11 and 11 to get 22.
29-\frac{5\times 2\times 6}{2}+24-5
Add 22 and 7 to get 29.
29-5\times 6+24-5
Cancel out 2 and 2.
29-30+24-5
Multiply 5 and 6 to get 30.
-1+24-5
Subtract 30 from 29 to get -1.
23-5
Add -1 and 24 to get 23.
18
Subtract 5 from 23 to get 18.
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}