Evaluate
\left(x+1\right)\left(x+\left(-3-i\right)\right)\left(x+\left(-3+i\right)\right)
Expand
x^{3}-5x^{2}+4x+10
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\left(x\left(x-\left(3-i\right)\right)+x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)
Use the distributive property to multiply x+1 by x-\left(3-i\right).
x\left(x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)+\left(x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)
Use the distributive property to multiply x\left(x-\left(3-i\right)\right)+x-\left(3-i\right) by x-\left(3+i\right).
x\left(x+\left(-3+i\right)\right)\left(x-\left(3+i\right)\right)+\left(x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)
Multiply -1 and 3-i to get -3+i.
x\left(x+\left(-3+i\right)\right)\left(x+\left(-3-i\right)\right)+\left(x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)
Multiply -1 and 3+i to get -3-i.
\left(x^{2}+\left(-3+i\right)x\right)\left(x+\left(-3-i\right)\right)+\left(x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)
Use the distributive property to multiply x by x+\left(-3+i\right).
x^{3}+\left(-3-i\right)x^{2}+\left(-3+i\right)x^{2}+10x+\left(x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)
Apply the distributive property by multiplying each term of x^{2}+\left(-3+i\right)x by each term of x+\left(-3-i\right).
x^{3}-6x^{2}+10x+\left(x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)
Combine \left(-3-i\right)x^{2} and \left(-3+i\right)x^{2} to get -6x^{2}.
x^{3}-6x^{2}+10x+\left(x+\left(-3+i\right)\right)\left(x-\left(3+i\right)\right)
Multiply -1 and 3-i to get -3+i.
x^{3}-6x^{2}+10x+\left(x+\left(-3+i\right)\right)\left(x+\left(-3-i\right)\right)
Multiply -1 and 3+i to get -3-i.
x^{3}-6x^{2}+10x+x^{2}+\left(-3-i\right)x+\left(-3+i\right)x+10
Apply the distributive property by multiplying each term of x+\left(-3+i\right) by each term of x+\left(-3-i\right).
x^{3}-6x^{2}+10x+x^{2}-6x+10
Combine \left(-3-i\right)x and \left(-3+i\right)x to get -6x.
x^{3}-5x^{2}+10x-6x+10
Combine -6x^{2} and x^{2} to get -5x^{2}.
x^{3}-5x^{2}+4x+10
Combine 10x and -6x to get 4x.
\left(x\left(x-\left(3-i\right)\right)+x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)
Use the distributive property to multiply x+1 by x-\left(3-i\right).
x\left(x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)+\left(x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)
Use the distributive property to multiply x\left(x-\left(3-i\right)\right)+x-\left(3-i\right) by x-\left(3+i\right).
x\left(x+\left(-3+i\right)\right)\left(x-\left(3+i\right)\right)+\left(x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)
Multiply -1 and 3-i to get -3+i.
x\left(x+\left(-3+i\right)\right)\left(x+\left(-3-i\right)\right)+\left(x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)
Multiply -1 and 3+i to get -3-i.
\left(x^{2}+\left(-3+i\right)x\right)\left(x+\left(-3-i\right)\right)+\left(x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)
Use the distributive property to multiply x by x+\left(-3+i\right).
x^{3}+\left(-3-i\right)x^{2}+\left(-3+i\right)x^{2}+10x+\left(x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)
Apply the distributive property by multiplying each term of x^{2}+\left(-3+i\right)x by each term of x+\left(-3-i\right).
x^{3}-6x^{2}+10x+\left(x-\left(3-i\right)\right)\left(x-\left(3+i\right)\right)
Combine \left(-3-i\right)x^{2} and \left(-3+i\right)x^{2} to get -6x^{2}.
x^{3}-6x^{2}+10x+\left(x+\left(-3+i\right)\right)\left(x-\left(3+i\right)\right)
Multiply -1 and 3-i to get -3+i.
x^{3}-6x^{2}+10x+\left(x+\left(-3+i\right)\right)\left(x+\left(-3-i\right)\right)
Multiply -1 and 3+i to get -3-i.
x^{3}-6x^{2}+10x+x^{2}+\left(-3-i\right)x+\left(-3+i\right)x+10
Apply the distributive property by multiplying each term of x+\left(-3+i\right) by each term of x+\left(-3-i\right).
x^{3}-6x^{2}+10x+x^{2}-6x+10
Combine \left(-3-i\right)x and \left(-3+i\right)x to get -6x.
x^{3}-5x^{2}+10x-6x+10
Combine -6x^{2} and x^{2} to get -5x^{2}.
x^{3}-5x^{2}+4x+10
Combine 10x and -6x to get 4x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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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