Expand
x^{3}-2x^{2}-x-1
Evaluate
x\left(x-1\right)^{2}-2x-1
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x\left(x^{2}-2x+1\right)-2x-1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{3}-2x^{2}+x-2x-1
Use the distributive property to multiply x by x^{2}-2x+1.
x^{3}-2x^{2}-x-1
Combine x and -2x to get -x.
x\left(x^{2}-2x+1\right)-2x-1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{3}-2x^{2}+x-2x-1
Use the distributive property to multiply x by x^{2}-2x+1.
x^{3}-2x^{2}-x-1
Combine x and -2x to get -x.
Examples
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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