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3x^{2}+2x-5-5x^{2}+4x-1
To find the opposite of 5x^{2}-4x+1, find the opposite of each term.
-2x^{2}+2x-5+4x-1
Combine 3x^{2} and -5x^{2} to get -2x^{2}.
-2x^{2}+6x-5-1
Combine 2x and 4x to get 6x.
-2x^{2}+6x-6
Subtract 1 from -5 to get -6.
3x^{2}+2x-5-5x^{2}+4x-1
To find the opposite of 5x^{2}-4x+1, find the opposite of each term.
-2x^{2}+2x-5+4x-1
Combine 3x^{2} and -5x^{2} to get -2x^{2}.
-2x^{2}+6x-5-1
Combine 2x and 4x to get 6x.
-2x^{2}+6x-6
Subtract 1 from -5 to get -6.