Evaluate
\left(2-x\right)\left(x^{2}+x-3\right)
Expand
-x^{3}+x^{2}+5x-6
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5x-x^{2}-6+x\left(2x-x^{2}\right)
Use the distributive property to multiply x-3 by 2-x and combine like terms.
5x-x^{2}-6+2x^{2}-x^{3}
Use the distributive property to multiply x by 2x-x^{2}.
5x+x^{2}-6-x^{3}
Combine -x^{2} and 2x^{2} to get x^{2}.
5x-x^{2}-6+x\left(2x-x^{2}\right)
Use the distributive property to multiply x-3 by 2-x and combine like terms.
5x-x^{2}-6+2x^{2}-x^{3}
Use the distributive property to multiply x by 2x-x^{2}.
5x+x^{2}-6-x^{3}
Combine -x^{2} and 2x^{2} to get x^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}