Evaluate
\left(x+\left(-3-6i\right)\right)\left(x+\left(-3+6i\right)\right)
Expand
x^{2}-6x+45
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\left(x+\left(-3-6i\right)\right)\left(x-\left(3-6i\right)\right)
Multiply -1 and 3+6i to get -3-6i.
\left(x+\left(-3-6i\right)\right)\left(x+\left(-3+6i\right)\right)
Multiply -1 and 3-6i to get -3+6i.
x^{2}+\left(-3+6i\right)x+\left(-3-6i\right)x+45
Apply the distributive property by multiplying each term of x+\left(-3-6i\right) by each term of x+\left(-3+6i\right).
x^{2}-6x+45
Combine \left(-3+6i\right)x and \left(-3-6i\right)x to get -6x.
\left(x+\left(-3-6i\right)\right)\left(x-\left(3-6i\right)\right)
Multiply -1 and 3+6i to get -3-6i.
\left(x+\left(-3-6i\right)\right)\left(x+\left(-3+6i\right)\right)
Multiply -1 and 3-6i to get -3+6i.
x^{2}+\left(-3+6i\right)x+\left(-3-6i\right)x+45
Apply the distributive property by multiplying each term of x+\left(-3-6i\right) by each term of x+\left(-3+6i\right).
x^{2}-6x+45
Combine \left(-3+6i\right)x and \left(-3-6i\right)x to get -6x.
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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
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