Evaluate
\left(x-1\right)\left(4x^{2}+x+1\right)
Expand
4x^{3}-3x^{2}-1
Graph
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2x^{3}+2x-x^{2}-1+2x\left(x^{2}-x-1\right)
Use the distributive property to multiply 2x-1 by x^{2}+1.
2x^{3}+2x-x^{2}-1+2x^{3}-2x^{2}-2x
Use the distributive property to multiply 2x by x^{2}-x-1.
4x^{3}+2x-x^{2}-1-2x^{2}-2x
Combine 2x^{3} and 2x^{3} to get 4x^{3}.
4x^{3}+2x-3x^{2}-1-2x
Combine -x^{2} and -2x^{2} to get -3x^{2}.
4x^{3}-3x^{2}-1
Combine 2x and -2x to get 0.
2x^{3}+2x-x^{2}-1+2x\left(x^{2}-x-1\right)
Use the distributive property to multiply 2x-1 by x^{2}+1.
2x^{3}+2x-x^{2}-1+2x^{3}-2x^{2}-2x
Use the distributive property to multiply 2x by x^{2}-x-1.
4x^{3}+2x-x^{2}-1-2x^{2}-2x
Combine 2x^{3} and 2x^{3} to get 4x^{3}.
4x^{3}+2x-3x^{2}-1-2x
Combine -x^{2} and -2x^{2} to get -3x^{2}.
4x^{3}-3x^{2}-1
Combine 2x and -2x to get 0.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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}