Evaluate
100
Factor
2^{2}\times 5^{2}
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\left(1+\left(-3\right)^{1}+\left(-3\right)^{2}+\left(-3\right)^{3}\right)\left(2^{2}-3^{2}\right)
Calculate -3 to the power of 0 and get 1.
\left(1-3+\left(-3\right)^{2}+\left(-3\right)^{3}\right)\left(2^{2}-3^{2}\right)
Calculate -3 to the power of 1 and get -3.
\left(-2+\left(-3\right)^{2}+\left(-3\right)^{3}\right)\left(2^{2}-3^{2}\right)
Subtract 3 from 1 to get -2.
\left(-2+9+\left(-3\right)^{3}\right)\left(2^{2}-3^{2}\right)
Calculate -3 to the power of 2 and get 9.
\left(7+\left(-3\right)^{3}\right)\left(2^{2}-3^{2}\right)
Add -2 and 9 to get 7.
\left(7-27\right)\left(2^{2}-3^{2}\right)
Calculate -3 to the power of 3 and get -27.
-20\left(2^{2}-3^{2}\right)
Subtract 27 from 7 to get -20.
-20\left(4-3^{2}\right)
Calculate 2 to the power of 2 and get 4.
-20\left(4-9\right)
Calculate 3 to the power of 2 and get 9.
-20\left(-5\right)
Subtract 9 from 4 to get -5.
100
Multiply -20 and -5 to get 100.
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}