Evaluate
-52+11i
Real Part
-52
Share
Copied to clipboard
-24+32i-21i-28
Apply the distributive property by multiplying each term of 8i-7 by each term of 3i+4.
-24-28+\left(32-21\right)i
Combine the real and imaginary parts.
-52+11i
Do the additions.
Re(-24+32i-21i-28)
Apply the distributive property by multiplying each term of 8i-7 by each term of 3i+4.
Re(-24-28+\left(32-21\right)i)
Combine the real and imaginary parts in -24+32i-21i-28.
Re(-52+11i)
Do the additions in -24-28+\left(32-21\right)i.
-52
The real part of -52+11i is -52.
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}