Evaluate
2-x+3x^{2}-x^{3}
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2-x+3x^{2}-x^{3}
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2x^{2}-3x+2-\left(x^{2}+x\right)\left(x-2\right)
Use the distributive property to multiply x by x+1.
2x^{2}-3x+2-\left(x^{3}-x^{2}-2x\right)
Use the distributive property to multiply x^{2}+x by x-2 and combine like terms.
2x^{2}-3x+2-x^{3}+x^{2}+2x
To find the opposite of x^{3}-x^{2}-2x, find the opposite of each term.
3x^{2}-3x+2-x^{3}+2x
Combine 2x^{2} and x^{2} to get 3x^{2}.
3x^{2}-x+2-x^{3}
Combine -3x and 2x to get -x.
2x^{2}-3x+2-\left(x^{2}+x\right)\left(x-2\right)
Use the distributive property to multiply x by x+1.
2x^{2}-3x+2-\left(x^{3}-x^{2}-2x\right)
Use the distributive property to multiply x^{2}+x by x-2 and combine like terms.
2x^{2}-3x+2-x^{3}+x^{2}+2x
To find the opposite of x^{3}-x^{2}-2x, find the opposite of each term.
3x^{2}-3x+2-x^{3}+2x
Combine 2x^{2} and x^{2} to get 3x^{2}.
3x^{2}-x+2-x^{3}
Combine -3x and 2x to get -x.
Examples
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}