Evaluate
2\left(a^{3}-1\right)
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2a^{3}-2
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a^{3}-a^{2}+a-1+\left(a^{2}-1\right)\left(a+1\right)
Use the distributive property to multiply a^{2}+1 by a-1.
a^{3}-a^{2}+a-1+a^{3}+a^{2}-a-1
Use the distributive property to multiply a^{2}-1 by a+1.
2a^{3}-a^{2}+a-1+a^{2}-a-1
Combine a^{3} and a^{3} to get 2a^{3}.
2a^{3}+a-1-a-1
Combine -a^{2} and a^{2} to get 0.
2a^{3}-1-1
Combine a and -a to get 0.
2a^{3}-2
Subtract 1 from -1 to get -2.
a^{3}-a^{2}+a-1+\left(a^{2}-1\right)\left(a+1\right)
Use the distributive property to multiply a^{2}+1 by a-1.
a^{3}-a^{2}+a-1+a^{3}+a^{2}-a-1
Use the distributive property to multiply a^{2}-1 by a+1.
2a^{3}-a^{2}+a-1+a^{2}-a-1
Combine a^{3} and a^{3} to get 2a^{3}.
2a^{3}+a-1-a-1
Combine -a^{2} and a^{2} to get 0.
2a^{3}-1-1
Combine a and -a to get 0.
2a^{3}-2
Subtract 1 from -1 to get -2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}