Evaluate
-10
Real Part
-10
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-5\left(-i\right)\left(-i^{2}+2i-1\right)
Calculate i to the power of 3 and get -i.
5i\left(-i^{2}+2i-1\right)
Multiply -5 and -i to get 5i.
5i\left(-\left(-1\right)+2i-1\right)
Calculate i to the power of 2 and get -1.
5i\left(1+2i-1\right)
The opposite of -1 is 1.
5i\times \left(2i\right)
Do the additions in 1+2i-1.
-10
Multiply 5i and 2i to get -10.
Re(-5\left(-i\right)\left(-i^{2}+2i-1\right))
Calculate i to the power of 3 and get -i.
Re(5i\left(-i^{2}+2i-1\right))
Multiply -5 and -i to get 5i.
Re(5i\left(-\left(-1\right)+2i-1\right))
Calculate i to the power of 2 and get -1.
Re(5i\left(1+2i-1\right))
The opposite of -1 is 1.
Re(5i\times \left(2i\right))
Do the additions in 1+2i-1.
Re(-10)
Multiply 5i and 2i to get -10.
-10
The real part of -10 is -10.
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}