Evaluate
3\left(x-1\right)\left(x^{2}+1\right)
Expand
3x^{3}-3x^{2}+3x-3
Graph
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x^{3}+x-1-\left(x^{2}-x+1-x^{3}+x^{2}+1\right)+x^{3}-x^{2}+x
To find the opposite of x^{3}-x^{2}-1, find the opposite of each term.
x^{3}+x-1-\left(2x^{2}-x+1-x^{3}+1\right)+x^{3}-x^{2}+x
Combine x^{2} and x^{2} to get 2x^{2}.
x^{3}+x-1-\left(2x^{2}-x+2-x^{3}\right)+x^{3}-x^{2}+x
Add 1 and 1 to get 2.
x^{3}+x-1-2x^{2}+x-2+x^{3}+x^{3}-x^{2}+x
To find the opposite of 2x^{2}-x+2-x^{3}, find the opposite of each term.
x^{3}+2x-1-2x^{2}-2+x^{3}+x^{3}-x^{2}+x
Combine x and x to get 2x.
x^{3}+2x-3-2x^{2}+x^{3}+x^{3}-x^{2}+x
Subtract 2 from -1 to get -3.
2x^{3}+2x-3-2x^{2}+x^{3}-x^{2}+x
Combine x^{3} and x^{3} to get 2x^{3}.
3x^{3}+2x-3-2x^{2}-x^{2}+x
Combine 2x^{3} and x^{3} to get 3x^{3}.
3x^{3}+2x-3-3x^{2}+x
Combine -2x^{2} and -x^{2} to get -3x^{2}.
3x^{3}+3x-3-3x^{2}
Combine 2x and x to get 3x.
x^{3}+x-1-\left(x^{2}-x+1-x^{3}+x^{2}+1\right)+x^{3}-x^{2}+x
To find the opposite of x^{3}-x^{2}-1, find the opposite of each term.
x^{3}+x-1-\left(2x^{2}-x+1-x^{3}+1\right)+x^{3}-x^{2}+x
Combine x^{2} and x^{2} to get 2x^{2}.
x^{3}+x-1-\left(2x^{2}-x+2-x^{3}\right)+x^{3}-x^{2}+x
Add 1 and 1 to get 2.
x^{3}+x-1-2x^{2}+x-2+x^{3}+x^{3}-x^{2}+x
To find the opposite of 2x^{2}-x+2-x^{3}, find the opposite of each term.
x^{3}+2x-1-2x^{2}-2+x^{3}+x^{3}-x^{2}+x
Combine x and x to get 2x.
x^{3}+2x-3-2x^{2}+x^{3}+x^{3}-x^{2}+x
Subtract 2 from -1 to get -3.
2x^{3}+2x-3-2x^{2}+x^{3}-x^{2}+x
Combine x^{3} and x^{3} to get 2x^{3}.
3x^{3}+2x-3-2x^{2}-x^{2}+x
Combine 2x^{3} and x^{3} to get 3x^{3}.
3x^{3}+2x-3-3x^{2}+x
Combine -2x^{2} and -x^{2} to get -3x^{2}.
3x^{3}+3x-3-3x^{2}
Combine 2x and x to get 3x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}