Evaluate
\left(x^{2}-2x-1\right)\left(x^{2}-x+1\right)
Expand
x^{4}-3x^{3}+2x^{2}-x-1
Graph
Quiz
Polynomial
5 problems similar to:
( x ^ { 2 } - 2 x - 1 ) ^ { 2 } + ( x ^ { 2 } - 2 x - 1 ) ( x + 2 )
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x^{4}-4x^{3}+2x^{2}+4x+1+\left(x^{2}-2x-1\right)\left(x+2\right)
Square x^{2}-2x-1.
x^{4}-4x^{3}+2x^{2}+4x+1+x^{3}-5x-2
Use the distributive property to multiply x^{2}-2x-1 by x+2 and combine like terms.
x^{4}-3x^{3}+2x^{2}+4x+1-5x-2
Combine -4x^{3} and x^{3} to get -3x^{3}.
x^{4}-3x^{3}+2x^{2}-x+1-2
Combine 4x and -5x to get -x.
x^{4}-3x^{3}+2x^{2}-x-1
Subtract 2 from 1 to get -1.
x^{4}-4x^{3}+2x^{2}+4x+1+\left(x^{2}-2x-1\right)\left(x+2\right)
Square x^{2}-2x-1.
x^{4}-4x^{3}+2x^{2}+4x+1+x^{3}-5x-2
Use the distributive property to multiply x^{2}-2x-1 by x+2 and combine like terms.
x^{4}-3x^{3}+2x^{2}+4x+1-5x-2
Combine -4x^{3} and x^{3} to get -3x^{3}.
x^{4}-3x^{3}+2x^{2}-x+1-2
Combine 4x and -5x to get -x.
x^{4}-3x^{3}+2x^{2}-x-1
Subtract 2 from 1 to get -1.
Examples
Quadratic equation
{ 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}