Evaluate
-1-i
Real Part
-1
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3+4+\left(2+5\right)i-\left(6+7i\right)-\left(2+i\right)
Combine the real and imaginary parts in numbers 3+2i and 4+5i.
7+7i-\left(6+7i\right)-\left(2+i\right)
Add 3 to 4. Add 2 to 5.
7-6+\left(7-7\right)i-\left(2+i\right)
Subtract 6+7i from 7+7i by subtracting corresponding real and imaginary parts.
1-\left(2+i\right)
Subtract 6 from 7. Subtract 7 from 7.
1-2+i
Subtract 2+i from 1 by subtracting corresponding real and imaginary parts.
-1-i
Subtract 2 from 1.
Re(3+4+\left(2+5\right)i-\left(6+7i\right)-\left(2+i\right))
Combine the real and imaginary parts in numbers 3+2i and 4+5i.
Re(7+7i-\left(6+7i\right)-\left(2+i\right))
Add 3 to 4. Add 2 to 5.
Re(7-6+\left(7-7\right)i-\left(2+i\right))
Subtract 6+7i from 7+7i by subtracting corresponding real and imaginary parts.
Re(1-\left(2+i\right))
Subtract 6 from 7. Subtract 7 from 7.
Re(1-2+i)
Subtract 2+i from 1 by subtracting corresponding real and imaginary parts.
Re(-1-i)
Subtract 2 from 1.
-1
The real part of -1-i is -1.
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}