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32-5x^{2}
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32-5x^{2}
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6x^{2}-8x+7-\left(5x^{2}-\left(8x+16\right)+6x^{2}-9\right)
To find the opposite of -6x^{2}+8x-7, find the opposite of each term.
6x^{2}-8x+7-\left(5x^{2}-8x-16+6x^{2}-9\right)
To find the opposite of 8x+16, find the opposite of each term.
6x^{2}-8x+7-\left(11x^{2}-8x-16-9\right)
Combine 5x^{2} and 6x^{2} to get 11x^{2}.
6x^{2}-8x+7-\left(11x^{2}-8x-25\right)
Subtract 9 from -16 to get -25.
6x^{2}-8x+7-11x^{2}+8x+25
To find the opposite of 11x^{2}-8x-25, find the opposite of each term.
-5x^{2}-8x+7+8x+25
Combine 6x^{2} and -11x^{2} to get -5x^{2}.
-5x^{2}+7+25
Combine -8x and 8x to get 0.
-5x^{2}+32
Add 7 and 25 to get 32.
6x^{2}-8x+7-\left(5x^{2}-\left(8x+16\right)+6x^{2}-9\right)
To find the opposite of -6x^{2}+8x-7, find the opposite of each term.
6x^{2}-8x+7-\left(5x^{2}-8x-16+6x^{2}-9\right)
To find the opposite of 8x+16, find the opposite of each term.
6x^{2}-8x+7-\left(11x^{2}-8x-16-9\right)
Combine 5x^{2} and 6x^{2} to get 11x^{2}.
6x^{2}-8x+7-\left(11x^{2}-8x-25\right)
Subtract 9 from -16 to get -25.
6x^{2}-8x+7-11x^{2}+8x+25
To find the opposite of 11x^{2}-8x-25, find the opposite of each term.
-5x^{2}-8x+7+8x+25
Combine 6x^{2} and -11x^{2} to get -5x^{2}.
-5x^{2}+7+25
Combine -8x and 8x to get 0.
-5x^{2}+32
Add 7 and 25 to get 32.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}