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-a^{2}
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-a^{2}
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a^{4}+2a^{3}+2a^{2}+2a+1-\left(a^{2}+a+1\right)^{2}
Use the distributive property to multiply a+1 by a^{3}+a^{2}+a+1 and combine like terms.
a^{4}+2a^{3}+2a^{2}+2a+1-\left(a^{4}+2a^{3}+3a^{2}+2a+1\right)
Square a^{2}+a+1.
a^{4}+2a^{3}+2a^{2}+2a+1-a^{4}-2a^{3}-3a^{2}-2a-1
To find the opposite of a^{4}+2a^{3}+3a^{2}+2a+1, find the opposite of each term.
2a^{3}+2a^{2}+2a+1-2a^{3}-3a^{2}-2a-1
Combine a^{4} and -a^{4} to get 0.
2a^{2}+2a+1-3a^{2}-2a-1
Combine 2a^{3} and -2a^{3} to get 0.
-a^{2}+2a+1-2a-1
Combine 2a^{2} and -3a^{2} to get -a^{2}.
-a^{2}+1-1
Combine 2a and -2a to get 0.
-a^{2}
Subtract 1 from 1 to get 0.
a^{4}+2a^{3}+2a^{2}+2a+1-\left(a^{2}+a+1\right)^{2}
Use the distributive property to multiply a+1 by a^{3}+a^{2}+a+1 and combine like terms.
a^{4}+2a^{3}+2a^{2}+2a+1-\left(a^{4}+2a^{3}+3a^{2}+2a+1\right)
Square a^{2}+a+1.
a^{4}+2a^{3}+2a^{2}+2a+1-a^{4}-2a^{3}-3a^{2}-2a-1
To find the opposite of a^{4}+2a^{3}+3a^{2}+2a+1, find the opposite of each term.
2a^{3}+2a^{2}+2a+1-2a^{3}-3a^{2}-2a-1
Combine a^{4} and -a^{4} to get 0.
2a^{2}+2a+1-3a^{2}-2a-1
Combine 2a^{3} and -2a^{3} to get 0.
-a^{2}+2a+1-2a-1
Combine 2a^{2} and -3a^{2} to get -a^{2}.
-a^{2}+1-1
Combine 2a and -2a to get 0.
-a^{2}
Subtract 1 from 1 to get 0.
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}