Evaluate
2\left(-x^{2}+x-1\right)
Expand
-2x^{2}+2x-2
Graph
Share
Copied to clipboard
\frac{x\left(x^{2}-x+1\right)}{-\frac{1}{2}x}
Factor the expressions that are not already factored.
\frac{x^{2}-x+1}{-\frac{1}{2}}
Cancel out x in both numerator and denominator.
\frac{\left(x^{2}-x+1\right)\times 2}{-1}
Divide x^{2}-x+1 by -\frac{1}{2} by multiplying x^{2}-x+1 by the reciprocal of -\frac{1}{2}.
-\left(x^{2}-x+1\right)\times 2
Anything divided by -1 gives its opposite.
-\left(2x^{2}-2x+2\right)
Use the distributive property to multiply x^{2}-x+1 by 2.
-2x^{2}+2x-2
To find the opposite of 2x^{2}-2x+2, find the opposite of each term.
\frac{x\left(x^{2}-x+1\right)}{-\frac{1}{2}x}
Factor the expressions that are not already factored.
\frac{x^{2}-x+1}{-\frac{1}{2}}
Cancel out x in both numerator and denominator.
\frac{\left(x^{2}-x+1\right)\times 2}{-1}
Divide x^{2}-x+1 by -\frac{1}{2} by multiplying x^{2}-x+1 by the reciprocal of -\frac{1}{2}.
-\left(x^{2}-x+1\right)\times 2
Anything divided by -1 gives its opposite.
-\left(2x^{2}-2x+2\right)
Use the distributive property to multiply x^{2}-x+1 by 2.
-2x^{2}+2x-2
To find the opposite of 2x^{2}-2x+2, find the opposite of each term.
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}