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5x^{3}-27x^{2}-17x-6-9x^{3}+12x^{2}-19x-53
To find the opposite of 9x^{3}-12x^{2}+19x+53, find the opposite of each term.
-4x^{3}-27x^{2}-17x-6+12x^{2}-19x-53
Combine 5x^{3} and -9x^{3} to get -4x^{3}.
-4x^{3}-15x^{2}-17x-6-19x-53
Combine -27x^{2} and 12x^{2} to get -15x^{2}.
-4x^{3}-15x^{2}-36x-6-53
Combine -17x and -19x to get -36x.
-4x^{3}-15x^{2}-36x-59
Subtract 53 from -6 to get -59.
5x^{3}-27x^{2}-17x-6-9x^{3}+12x^{2}-19x-53
To find the opposite of 9x^{3}-12x^{2}+19x+53, find the opposite of each term.
-4x^{3}-27x^{2}-17x-6+12x^{2}-19x-53
Combine 5x^{3} and -9x^{3} to get -4x^{3}.
-4x^{3}-15x^{2}-17x-6-19x-53
Combine -27x^{2} and 12x^{2} to get -15x^{2}.
-4x^{3}-15x^{2}-36x-6-53
Combine -17x and -19x to get -36x.
-4x^{3}-15x^{2}-36x-59
Subtract 53 from -6 to get -59.