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8x^{2}-8x+6
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8x^{2}-8x+6
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9x^{2}-6x-1-3x+5-\left(x^{2}-x-2\right)
Combine 7x^{2} and 2x^{2} to get 9x^{2}.
9x^{2}-9x-1+5-\left(x^{2}-x-2\right)
Combine -6x and -3x to get -9x.
9x^{2}-9x+4-\left(x^{2}-x-2\right)
Add -1 and 5 to get 4.
9x^{2}-9x+4-x^{2}+x+2
To find the opposite of x^{2}-x-2, find the opposite of each term.
8x^{2}-9x+4+x+2
Combine 9x^{2} and -x^{2} to get 8x^{2}.
8x^{2}-8x+4+2
Combine -9x and x to get -8x.
8x^{2}-8x+6
Add 4 and 2 to get 6.
9x^{2}-6x-1-3x+5-\left(x^{2}-x-2\right)
Combine 7x^{2} and 2x^{2} to get 9x^{2}.
9x^{2}-9x-1+5-\left(x^{2}-x-2\right)
Combine -6x and -3x to get -9x.
9x^{2}-9x+4-\left(x^{2}-x-2\right)
Add -1 and 5 to get 4.
9x^{2}-9x+4-x^{2}+x+2
To find the opposite of x^{2}-x-2, find the opposite of each term.
8x^{2}-9x+4+x+2
Combine 9x^{2} and -x^{2} to get 8x^{2}.
8x^{2}-8x+4+2
Combine -9x and x to get -8x.
8x^{2}-8x+6
Add 4 and 2 to get 6.
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}