\left( 2 \cdot 2+3 \cdot 3 \right) \left( 4 \cdot 2-(- { 4 }^{ 2 } \right)
Evaluate
312
Factor
2^{3}\times 3\times 13
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\left(4+9\right)\left(4\times 2-\left(-4^{2}\right)\right)
Multiply 2 and 2 to get 4. Multiply 3 and 3 to get 9.
13\left(4\times 2-\left(-4^{2}\right)\right)
Add 4 and 9 to get 13.
13\left(8-\left(-4^{2}\right)\right)
Multiply 4 and 2 to get 8.
13\left(8-\left(-16\right)\right)
Calculate 4 to the power of 2 and get 16.
13\left(8+16\right)
The opposite of -16 is 16.
13\times 24
Add 8 and 16 to get 24.
312
Multiply 13 and 24 to get 312.
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}