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5x^{2}+3x+8-2x^{2}+2x+9
To find the opposite of 2x^{2}-2x-9, find the opposite of each term.
3x^{2}+3x+8+2x+9
Combine 5x^{2} and -2x^{2} to get 3x^{2}.
3x^{2}+5x+8+9
Combine 3x and 2x to get 5x.
3x^{2}+5x+17
Add 8 and 9 to get 17.
5x^{2}+3x+8-2x^{2}+2x+9
To find the opposite of 2x^{2}-2x-9, find the opposite of each term.
3x^{2}+3x+8+2x+9
Combine 5x^{2} and -2x^{2} to get 3x^{2}.
3x^{2}+5x+8+9
Combine 3x and 2x to get 5x.
3x^{2}+5x+17
Add 8 and 9 to get 17.