Evaluate
\left(2x+1\right)\left(x-1\right)^{2}
Expand
2x^{3}-3x^{2}+1
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-1-x^{3}+2x-\left(3x^{2}-3x^{3}-2+2x\right)
Use the distributive property to multiply 3x^{2}-2 by 1-x.
-1-x^{3}+2x-3x^{2}+3x^{3}+2-2x
To find the opposite of 3x^{2}-3x^{3}-2+2x, find the opposite of each term.
-1+2x^{3}+2x-3x^{2}+2-2x
Combine -x^{3} and 3x^{3} to get 2x^{3}.
1+2x^{3}+2x-3x^{2}-2x
Add -1 and 2 to get 1.
1+2x^{3}-3x^{2}
Combine 2x and -2x to get 0.
-1-x^{3}+2x-\left(3x^{2}-3x^{3}-2+2x\right)
Use the distributive property to multiply 3x^{2}-2 by 1-x.
-1-x^{3}+2x-3x^{2}+3x^{3}+2-2x
To find the opposite of 3x^{2}-3x^{3}-2+2x, find the opposite of each term.
-1+2x^{3}+2x-3x^{2}+2-2x
Combine -x^{3} and 3x^{3} to get 2x^{3}.
1+2x^{3}+2x-3x^{2}-2x
Add -1 and 2 to get 1.
1+2x^{3}-3x^{2}
Combine 2x and -2x to get 0.
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}