( - 5 + 4 i ) - ( 7 - i ) + ( 12 + 7 i
Evaluate
12i
Real Part
0
Share
Copied to clipboard
-5-7+\left(4-\left(-1\right)\right)i+\left(12+7i\right)
Subtract 7-i from -5+4i by subtracting corresponding real and imaginary parts.
-12+5i+\left(12+7i\right)
Subtract 7 from -5. Subtract -1 from 4.
-12+12+\left(5+7\right)i
Combine the real and imaginary parts in numbers -12+5i and 12+7i.
12i
Add -12 to 12. Add 5 to 7.
Re(-5-7+\left(4-\left(-1\right)\right)i+\left(12+7i\right))
Subtract 7-i from -5+4i by subtracting corresponding real and imaginary parts.
Re(-12+5i+\left(12+7i\right))
Subtract 7 from -5. Subtract -1 from 4.
Re(-12+12+\left(5+7\right)i)
Combine the real and imaginary parts in numbers -12+5i and 12+7i.
Re(12i)
Add -12 to 12. Add 5 to 7.
0
The real part of 12i is 0.
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}