Evaluate
-18
Factor
-18
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\frac{-9\times 14}{\sqrt{-2-\left(-3\right)}\times 7}
Express \frac{\frac{-9\times 14}{\sqrt{-2-\left(-3\right)}}}{7} as a single fraction.
\frac{-9\times 2}{\sqrt{-2-\left(-3\right)}}
Cancel out 7 in both numerator and denominator.
\frac{-18}{\sqrt{-2-\left(-3\right)}}
Multiply -9 and 2 to get -18.
\frac{-18}{\sqrt{-2+3}}
The opposite of -3 is 3.
\frac{-18}{\sqrt{1}}
Add -2 and 3 to get 1.
\frac{-18}{1}
Calculate the square root of 1 and get 1.
-18
Anything divided by one gives itself.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}