Evaluate
x\left(x-1\right)\left(x^{2}-9\right)
Expand
x^{4}-x^{3}-9x^{2}+9x
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\left(x^{2}+3x\right)\left(x-1\right)\left(x-3\right)
Use the distributive property to multiply x+3 by x.
\left(x^{3}-x^{2}+3x^{2}-3x\right)\left(x-3\right)
Apply the distributive property by multiplying each term of x^{2}+3x by each term of x-1.
\left(x^{3}+2x^{2}-3x\right)\left(x-3\right)
Combine -x^{2} and 3x^{2} to get 2x^{2}.
x^{4}-3x^{3}+2x^{3}-6x^{2}-3x^{2}+9x
Apply the distributive property by multiplying each term of x^{3}+2x^{2}-3x by each term of x-3.
x^{4}-x^{3}-6x^{2}-3x^{2}+9x
Combine -3x^{3} and 2x^{3} to get -x^{3}.
x^{4}-x^{3}-9x^{2}+9x
Combine -6x^{2} and -3x^{2} to get -9x^{2}.
\left(x^{2}+3x\right)\left(x-1\right)\left(x-3\right)
Use the distributive property to multiply x+3 by x.
\left(x^{3}-x^{2}+3x^{2}-3x\right)\left(x-3\right)
Apply the distributive property by multiplying each term of x^{2}+3x by each term of x-1.
\left(x^{3}+2x^{2}-3x\right)\left(x-3\right)
Combine -x^{2} and 3x^{2} to get 2x^{2}.
x^{4}-3x^{3}+2x^{3}-6x^{2}-3x^{2}+9x
Apply the distributive property by multiplying each term of x^{3}+2x^{2}-3x by each term of x-3.
x^{4}-x^{3}-6x^{2}-3x^{2}+9x
Combine -3x^{3} and 2x^{3} to get -x^{3}.
x^{4}-x^{3}-9x^{2}+9x
Combine -6x^{2} and -3x^{2} to get -9x^{2}.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}