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2a^{3}-2a^{2}+11
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2a^{3}-2a^{2}+11
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a^{3}-3a-a^{2}+3+a^{2}\left(a+1\right)-2\left(a^{2}-2a-4\right)-a
Use the distributive property to multiply a-1 by a^{2}-3.
a^{3}-3a-a^{2}+3+a^{3}+a^{2}-2\left(a^{2}-2a-4\right)-a
Use the distributive property to multiply a^{2} by a+1.
2a^{3}-3a-a^{2}+3+a^{2}-2\left(a^{2}-2a-4\right)-a
Combine a^{3} and a^{3} to get 2a^{3}.
2a^{3}-3a+3-2\left(a^{2}-2a-4\right)-a
Combine -a^{2} and a^{2} to get 0.
2a^{3}-3a+3-2a^{2}+4a+8-a
Use the distributive property to multiply -2 by a^{2}-2a-4.
2a^{3}+a+3-2a^{2}+8-a
Combine -3a and 4a to get a.
2a^{3}+a+11-2a^{2}-a
Add 3 and 8 to get 11.
2a^{3}+11-2a^{2}
Combine a and -a to get 0.
a^{3}-3a-a^{2}+3+a^{2}\left(a+1\right)-2\left(a^{2}-2a-4\right)-a
Use the distributive property to multiply a-1 by a^{2}-3.
a^{3}-3a-a^{2}+3+a^{3}+a^{2}-2\left(a^{2}-2a-4\right)-a
Use the distributive property to multiply a^{2} by a+1.
2a^{3}-3a-a^{2}+3+a^{2}-2\left(a^{2}-2a-4\right)-a
Combine a^{3} and a^{3} to get 2a^{3}.
2a^{3}-3a+3-2\left(a^{2}-2a-4\right)-a
Combine -a^{2} and a^{2} to get 0.
2a^{3}-3a+3-2a^{2}+4a+8-a
Use the distributive property to multiply -2 by a^{2}-2a-4.
2a^{3}+a+3-2a^{2}+8-a
Combine -3a and 4a to get a.
2a^{3}+a+11-2a^{2}-a
Add 3 and 8 to get 11.
2a^{3}+11-2a^{2}
Combine a and -a 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}