Evaluate
6
Real Part
6
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1+i+\left(2+i\right)-\left(-3+2i\right)
The opposite of -2-i is 2+i.
1+2+\left(1+1\right)i-\left(-3+2i\right)
Combine the real and imaginary parts in numbers 1+i and 2+i.
3+2i-\left(-3+2i\right)
Add 1 to 2. Add 1 to 1.
3-\left(-3\right)+\left(2-2\right)i
Subtract -3+2i from 3+2i by subtracting corresponding real and imaginary parts.
6
Subtract -3 from 3. Subtract 2 from 2.
Re(1+i+\left(2+i\right)-\left(-3+2i\right))
The opposite of -2-i is 2+i.
Re(1+2+\left(1+1\right)i-\left(-3+2i\right))
Combine the real and imaginary parts in numbers 1+i and 2+i.
Re(3+2i-\left(-3+2i\right))
Add 1 to 2. Add 1 to 1.
Re(3-\left(-3\right)+\left(2-2\right)i)
Subtract -3+2i from 3+2i by subtracting corresponding real and imaginary parts.
Re(6)
Subtract -3 from 3. Subtract 2 from 2.
6
The real part of 6 is 6.
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}