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7x^{5}+4x^{3}-2x^{2}+12x+5-6x^{4}+9x^{3}-x^{2}+3
To find the opposite of 6x^{4}-9x^{3}+x^{2}-3, find the opposite of each term.
7x^{5}+13x^{3}-2x^{2}+12x+5-6x^{4}-x^{2}+3
Combine 4x^{3} and 9x^{3} to get 13x^{3}.
7x^{5}+13x^{3}-3x^{2}+12x+5-6x^{4}+3
Combine -2x^{2} and -x^{2} to get -3x^{2}.
7x^{5}+13x^{3}-3x^{2}+12x+8-6x^{4}
Add 5 and 3 to get 8.
7x^{5}+4x^{3}-2x^{2}+12x+5-6x^{4}+9x^{3}-x^{2}+3
To find the opposite of 6x^{4}-9x^{3}+x^{2}-3, find the opposite of each term.
7x^{5}+13x^{3}-2x^{2}+12x+5-6x^{4}-x^{2}+3
Combine 4x^{3} and 9x^{3} to get 13x^{3}.
7x^{5}+13x^{3}-3x^{2}+12x+5-6x^{4}+3
Combine -2x^{2} and -x^{2} to get -3x^{2}.
7x^{5}+13x^{3}-3x^{2}+12x+8-6x^{4}
Add 5 and 3 to get 8.