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4x^{2}-7x+3-x^{2}+5x-9-\left(8x^{2}+6x-11\right)
To find the opposite of x^{2}-5x+9, find the opposite of each term.
3x^{2}-7x+3+5x-9-\left(8x^{2}+6x-11\right)
Combine 4x^{2} and -x^{2} to get 3x^{2}.
3x^{2}-2x+3-9-\left(8x^{2}+6x-11\right)
Combine -7x and 5x to get -2x.
3x^{2}-2x-6-\left(8x^{2}+6x-11\right)
Subtract 9 from 3 to get -6.
3x^{2}-2x-6-8x^{2}-6x+11
To find the opposite of 8x^{2}+6x-11, find the opposite of each term.
-5x^{2}-2x-6-6x+11
Combine 3x^{2} and -8x^{2} to get -5x^{2}.
-5x^{2}-8x-6+11
Combine -2x and -6x to get -8x.
-5x^{2}-8x+5
Add -6 and 11 to get 5.
4x^{2}-7x+3-x^{2}+5x-9-\left(8x^{2}+6x-11\right)
To find the opposite of x^{2}-5x+9, find the opposite of each term.
3x^{2}-7x+3+5x-9-\left(8x^{2}+6x-11\right)
Combine 4x^{2} and -x^{2} to get 3x^{2}.
3x^{2}-2x+3-9-\left(8x^{2}+6x-11\right)
Combine -7x and 5x to get -2x.
3x^{2}-2x-6-\left(8x^{2}+6x-11\right)
Subtract 9 from 3 to get -6.
3x^{2}-2x-6-8x^{2}-6x+11
To find the opposite of 8x^{2}+6x-11, find the opposite of each term.
-5x^{2}-2x-6-6x+11
Combine 3x^{2} and -8x^{2} to get -5x^{2}.
-5x^{2}-8x-6+11
Combine -2x and -6x to get -8x.
-5x^{2}-8x+5
Add -6 and 11 to get 5.