Evaluate
\left(x+\left(-3-4i\right)\right)\left(x+\left(-3+4i\right)\right)
Expand
x^{2}-6x+25
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x^{2}-3x-4ix-3x+9+12i+4ix-12i+16
Apply the distributive property by multiplying each term of x-3+4i by each term of x-3-4i.
x^{2}-3x-4ix-3x+4ix+9+16+\left(12-12\right)i
Combine the real and imaginary parts.
x^{2}-3x-4ix-3x+4ix+25
Do the additions.
x^{2}+\left(-3-4i\right)x-3x+4ix+25
Combine -3x and -4ix to get \left(-3-4i\right)x.
x^{2}+\left(-6-4i\right)x+4ix+25
Combine \left(-3-4i\right)x and -3x to get \left(-6-4i\right)x.
x^{2}-6x+25
Combine \left(-6-4i\right)x and 4ix to get -6x.
x^{2}-3x-4ix-3x+9+12i+4ix-12i+16
Apply the distributive property by multiplying each term of x-3+4i by each term of x-3-4i.
x^{2}-3x-4ix-3x+4ix+9+16+\left(12-12\right)i
Combine the real and imaginary parts.
x^{2}-3x-4ix-3x+4ix+25
Do the additions.
x^{2}+\left(-3-4i\right)x-3x+4ix+25
Combine -3x and -4ix to get \left(-3-4i\right)x.
x^{2}+\left(-6-4i\right)x+4ix+25
Combine \left(-3-4i\right)x and -3x to get \left(-6-4i\right)x.
x^{2}-6x+25
Combine \left(-6-4i\right)x and 4ix to get -6x.
Examples
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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