Evaluate
3a^{3}-a^{2}+11
Expand
3a^{3}-a^{2}+11
Share
Copied to clipboard
3a^{3}-2a^{2}-a+8+6-\left(-a^{2}-a+3\right)
Combine -3a and 2a to get -a.
3a^{3}-2a^{2}-a+14-\left(-a^{2}-a+3\right)
Add 8 and 6 to get 14.
3a^{3}-2a^{2}-a+14-\left(-a^{2}\right)+a-3
To find the opposite of -a^{2}-a+3, find the opposite of each term.
3a^{3}-2a^{2}+14-\left(-a^{2}\right)-3
Combine -a and a to get 0.
3a^{3}-2a^{2}+11-\left(-a^{2}\right)
Subtract 3 from 14 to get 11.
3a^{3}-2a^{2}+11+a^{2}
Multiply -1 and -1 to get 1.
3a^{3}-a^{2}+11
Combine -2a^{2} and a^{2} to get -a^{2}.
3a^{3}-2a^{2}-a+8+6-\left(-a^{2}-a+3\right)
Combine -3a and 2a to get -a.
3a^{3}-2a^{2}-a+14-\left(-a^{2}-a+3\right)
Add 8 and 6 to get 14.
3a^{3}-2a^{2}-a+14-\left(-a^{2}\right)+a-3
To find the opposite of -a^{2}-a+3, find the opposite of each term.
3a^{3}-2a^{2}+14-\left(-a^{2}\right)-3
Combine -a and a to get 0.
3a^{3}-2a^{2}+11-\left(-a^{2}\right)
Subtract 3 from 14 to get 11.
3a^{3}-2a^{2}+11+a^{2}
Multiply -1 and -1 to get 1.
3a^{3}-a^{2}+11
Combine -2a^{2} and a^{2} to get -a^{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}