Evaluate
\left(3+5i\right)x+\left(-2-i\right)y
Expand
\left(3+5i\right)x+\left(-2-i\right)y
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3x-2y+5ix-iy
Use the distributive property to multiply 5x-y by i.
\left(3+5i\right)x-2y-iy
Combine 3x and 5ix to get \left(3+5i\right)x.
\left(3+5i\right)x+\left(-2-i\right)y
Combine -2y and -iy to get \left(-2-i\right)y.
3x-2y+5ix-iy
Use the distributive property to multiply 5x-y by i.
\left(3+5i\right)x-2y-iy
Combine 3x and 5ix to get \left(3+5i\right)x.
\left(3+5i\right)x+\left(-2-i\right)y
Combine -2y and -iy to get \left(-2-i\right)y.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}