Evaluate
\left(x+\left(-1+2i\right)\right)\left(z+\left(-1-2i\right)\right)
Expand
xz+\left(-1-2i\right)x+\left(-1+2i\right)z+5
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xz-x-2ix-z+1+2i+2iz-2i+4
Apply the distributive property by multiplying each term of x-1+2i by each term of z-1-2i.
xz-x-2ix-z+2iz+1+4+\left(2-2\right)i
Combine the real and imaginary parts.
xz-x-2ix-z+2iz+5
Do the additions.
xz+\left(-1-2i\right)x-z+2iz+5
Combine -x and -2ix to get \left(-1-2i\right)x.
xz+\left(-1-2i\right)x+\left(-1+2i\right)z+5
Combine -z and 2iz to get \left(-1+2i\right)z.
xz-x-2ix-z+1+2i+2iz-2i+4
Apply the distributive property by multiplying each term of x-1+2i by each term of z-1-2i.
xz-x-2ix-z+2iz+1+4+\left(2-2\right)i
Combine the real and imaginary parts.
xz-x-2ix-z+2iz+5
Do the additions.
xz+\left(-1-2i\right)x-z+2iz+5
Combine -x and -2ix to get \left(-1-2i\right)x.
xz+\left(-1-2i\right)x+\left(-1+2i\right)z+5
Combine -z and 2iz to get \left(-1+2i\right)z.
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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
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Limits
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