3( { 3 }^{ 2 } -(2 \times 3 \times -4)+(4 \times 3 \times -4)-5
Evaluate
-60
Factor
-60
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3\left(9-2\times 3\left(-4\right)+4\times 3\left(-4\right)-5\right)
Calculate 3 to the power of 2 and get 9.
3\left(9-6\left(-4\right)+4\times 3\left(-4\right)-5\right)
Multiply 2 and 3 to get 6.
3\left(9-\left(-24\right)+4\times 3\left(-4\right)-5\right)
Multiply 6 and -4 to get -24.
3\left(9+24+4\times 3\left(-4\right)-5\right)
The opposite of -24 is 24.
3\left(33+4\times 3\left(-4\right)-5\right)
Add 9 and 24 to get 33.
3\left(33+12\left(-4\right)-5\right)
Multiply 4 and 3 to get 12.
3\left(33-48-5\right)
Multiply 12 and -4 to get -48.
3\left(-15-5\right)
Subtract 48 from 33 to get -15.
3\left(-20\right)
Subtract 5 from -15 to get -20.
-60
Multiply 3 and -20 to get -60.
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}