Evaluate
\left(x+1\right)\left(6x^{2}-2x-1\right)
Expand
6x^{3}+4x^{2}-3x-1
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2x\left(-x\right)+6x^{3}-x+2\left(-x\right)+6x^{2}-1
Use the distributive property to multiply 2x+2 by -x+3x^{2}-\frac{1}{2}.
-2xx+6x^{3}-x+2\left(-1\right)x+6x^{2}-1
Multiply 2 and -1 to get -2.
-2x^{2}+6x^{3}-x+2\left(-1\right)x+6x^{2}-1
Multiply x and x to get x^{2}.
-2x^{2}+6x^{3}-x-2x+6x^{2}-1
Multiply 2 and -1 to get -2.
-2x^{2}+6x^{3}-3x+6x^{2}-1
Combine -x and -2x to get -3x.
4x^{2}+6x^{3}-3x-1
Combine -2x^{2} and 6x^{2} to get 4x^{2}.
2x\left(-x\right)+6x^{3}-x+2\left(-x\right)+6x^{2}-1
Use the distributive property to multiply 2x+2 by -x+3x^{2}-\frac{1}{2}.
-2xx+6x^{3}-x+2\left(-1\right)x+6x^{2}-1
Multiply 2 and -1 to get -2.
-2x^{2}+6x^{3}-x+2\left(-1\right)x+6x^{2}-1
Multiply x and x to get x^{2}.
-2x^{2}+6x^{3}-x-2x+6x^{2}-1
Multiply 2 and -1 to get -2.
-2x^{2}+6x^{3}-3x+6x^{2}-1
Combine -x and -2x to get -3x.
4x^{2}+6x^{3}-3x-1
Combine -2x^{2} and 6x^{2} to get 4x^{2}.
Examples
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{ 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}