Evaluate
-2a^{2}+a-1
Expand
-2a^{2}+a-1
Share
Copied to clipboard
\frac{1}{2}a+\frac{1}{3}a-2+a^{2}-\left(2a^{2}-\left(-a^{2}+1-\frac{1}{6}a\right)\right)+\frac{1}{3}a
To find the opposite of -\frac{1}{3}a+2, find the opposite of each term.
\frac{5}{6}a-2+a^{2}-\left(2a^{2}-\left(-a^{2}+1-\frac{1}{6}a\right)\right)+\frac{1}{3}a
Combine \frac{1}{2}a and \frac{1}{3}a to get \frac{5}{6}a.
\frac{5}{6}a-2+a^{2}-\left(2a^{2}-\left(-a^{2}\right)-1+\frac{1}{6}a\right)+\frac{1}{3}a
To find the opposite of -a^{2}+1-\frac{1}{6}a, find the opposite of each term.
\frac{5}{6}a-2+a^{2}-2a^{2}-\left(-\left(-a^{2}\right)\right)+1-\frac{1}{6}a+\frac{1}{3}a
To find the opposite of 2a^{2}-\left(-a^{2}\right)-1+\frac{1}{6}a, find the opposite of each term.
\frac{5}{6}a-2-a^{2}-\left(-\left(-a^{2}\right)\right)+1-\frac{1}{6}a+\frac{1}{3}a
Combine a^{2} and -2a^{2} to get -a^{2}.
\frac{5}{6}a-1-a^{2}-\left(-\left(-a^{2}\right)\right)-\frac{1}{6}a+\frac{1}{3}a
Add -2 and 1 to get -1.
\frac{2}{3}a-1-a^{2}-\left(-\left(-a^{2}\right)\right)+\frac{1}{3}a
Combine \frac{5}{6}a and -\frac{1}{6}a to get \frac{2}{3}a.
a-1-a^{2}-\left(-\left(-a^{2}\right)\right)
Combine \frac{2}{3}a and \frac{1}{3}a to get a.
a-1-a^{2}-a^{2}
Multiply -1 and -1 to get 1.
a-1-2a^{2}
Combine -a^{2} and -a^{2} to get -2a^{2}.
\frac{1}{2}a+\frac{1}{3}a-2+a^{2}-\left(2a^{2}-\left(-a^{2}+1-\frac{1}{6}a\right)\right)+\frac{1}{3}a
To find the opposite of -\frac{1}{3}a+2, find the opposite of each term.
\frac{5}{6}a-2+a^{2}-\left(2a^{2}-\left(-a^{2}+1-\frac{1}{6}a\right)\right)+\frac{1}{3}a
Combine \frac{1}{2}a and \frac{1}{3}a to get \frac{5}{6}a.
\frac{5}{6}a-2+a^{2}-\left(2a^{2}-\left(-a^{2}\right)-1+\frac{1}{6}a\right)+\frac{1}{3}a
To find the opposite of -a^{2}+1-\frac{1}{6}a, find the opposite of each term.
\frac{5}{6}a-2+a^{2}-2a^{2}-\left(-\left(-a^{2}\right)\right)+1-\frac{1}{6}a+\frac{1}{3}a
To find the opposite of 2a^{2}-\left(-a^{2}\right)-1+\frac{1}{6}a, find the opposite of each term.
\frac{5}{6}a-2-a^{2}-\left(-\left(-a^{2}\right)\right)+1-\frac{1}{6}a+\frac{1}{3}a
Combine a^{2} and -2a^{2} to get -a^{2}.
\frac{5}{6}a-1-a^{2}-\left(-\left(-a^{2}\right)\right)-\frac{1}{6}a+\frac{1}{3}a
Add -2 and 1 to get -1.
\frac{2}{3}a-1-a^{2}-\left(-\left(-a^{2}\right)\right)+\frac{1}{3}a
Combine \frac{5}{6}a and -\frac{1}{6}a to get \frac{2}{3}a.
a-1-a^{2}-\left(-\left(-a^{2}\right)\right)
Combine \frac{2}{3}a and \frac{1}{3}a to get a.
a-1-a^{2}-a^{2}
Multiply -1 and -1 to get 1.
a-1-2a^{2}
Combine -a^{2} and -a^{2} to get -2a^{2}.
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}