Evaluate
\left(x+2\right)\left(x^{3}-x^{2}-2x+1\right)
Expand
x^{4}+x^{3}-4x^{2}-3x+2
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2-3x-5x^{2}-\left(-x^{2}\right)+x^{3}+x^{4}
To find the opposite of -x^{2}-x^{3}-x^{4}, find the opposite of each term.
2-3x-5x^{2}+x^{2}+x^{3}+x^{4}
Multiply -1 and -1 to get 1.
2-3x-4x^{2}+x^{3}+x^{4}
Combine -5x^{2} and x^{2} to get -4x^{2}.
2-3x-5x^{2}-\left(-x^{2}\right)+x^{3}+x^{4}
To find the opposite of -x^{2}-x^{3}-x^{4}, find the opposite of each term.
2-3x-5x^{2}+x^{2}+x^{3}+x^{4}
Multiply -1 and -1 to get 1.
2-3x-4x^{2}+x^{3}+x^{4}
Combine -5x^{2} and x^{2} to get -4x^{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}