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5a-6
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5a-6
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a^{3}-2a^{2}+3a-6-a\left(a^{2}-2a-2\right)
Use the distributive property to multiply a^{2}+3 by a-2.
a^{3}-2a^{2}+3a-6-\left(a^{3}-2a^{2}-2a\right)
Use the distributive property to multiply a by a^{2}-2a-2.
a^{3}-2a^{2}+3a-6-a^{3}+2a^{2}+2a
To find the opposite of a^{3}-2a^{2}-2a, find the opposite of each term.
-2a^{2}+3a-6+2a^{2}+2a
Combine a^{3} and -a^{3} to get 0.
3a-6+2a
Combine -2a^{2} and 2a^{2} to get 0.
5a-6
Combine 3a and 2a to get 5a.
a^{3}-2a^{2}+3a-6-a\left(a^{2}-2a-2\right)
Use the distributive property to multiply a^{2}+3 by a-2.
a^{3}-2a^{2}+3a-6-\left(a^{3}-2a^{2}-2a\right)
Use the distributive property to multiply a by a^{2}-2a-2.
a^{3}-2a^{2}+3a-6-a^{3}+2a^{2}+2a
To find the opposite of a^{3}-2a^{2}-2a, find the opposite of each term.
-2a^{2}+3a-6+2a^{2}+2a
Combine a^{3} and -a^{3} to get 0.
3a-6+2a
Combine -2a^{2} and 2a^{2} to get 0.
5a-6
Combine 3a and 2a to get 5a.
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}