Evaluate
\left(x+\left(5-3i\right)\right)\left(x+\left(5+3i\right)\right)
Expand
x^{2}+10x+34
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\left(x-\left(-5+3i\right)\right)\left(x+\left(5+3i\right)\right)
The opposite of -5-3i is 5+3i.
\left(x-\left(-5+3i\right)\right)x+\left(5+3i\right)\left(x-\left(-5+3i\right)\right)
Use the distributive property to multiply x-\left(-5+3i\right) by x+\left(5+3i\right).
\left(x+\left(5-3i\right)\right)x+\left(5+3i\right)\left(x-\left(-5+3i\right)\right)
Multiply -1 and -5+3i to get 5-3i.
x^{2}+\left(5-3i\right)x+\left(5+3i\right)\left(x-\left(-5+3i\right)\right)
Use the distributive property to multiply x+\left(5-3i\right) by x.
x^{2}+\left(5-3i\right)x+\left(5+3i\right)\left(x+\left(5-3i\right)\right)
Multiply -1 and -5+3i to get 5-3i.
x^{2}+\left(5-3i\right)x+\left(5+3i\right)x+34
Use the distributive property to multiply 5+3i by x+\left(5-3i\right).
x^{2}+10x+34
Combine \left(5-3i\right)x and \left(5+3i\right)x to get 10x.
\left(x-\left(-5+3i\right)\right)\left(x+\left(5+3i\right)\right)
The opposite of -5-3i is 5+3i.
\left(x-\left(-5+3i\right)\right)x+\left(5+3i\right)\left(x-\left(-5+3i\right)\right)
Use the distributive property to multiply x-\left(-5+3i\right) by x+\left(5+3i\right).
\left(x+\left(5-3i\right)\right)x+\left(5+3i\right)\left(x-\left(-5+3i\right)\right)
Multiply -1 and -5+3i to get 5-3i.
x^{2}+\left(5-3i\right)x+\left(5+3i\right)\left(x-\left(-5+3i\right)\right)
Use the distributive property to multiply x+\left(5-3i\right) by x.
x^{2}+\left(5-3i\right)x+\left(5+3i\right)\left(x+\left(5-3i\right)\right)
Multiply -1 and -5+3i to get 5-3i.
x^{2}+\left(5-3i\right)x+\left(5+3i\right)x+34
Use the distributive property to multiply 5+3i by x+\left(5-3i\right).
x^{2}+10x+34
Combine \left(5-3i\right)x and \left(5+3i\right)x to get 10x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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