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15x^{2}-37x+51-32x^{2}-29x+15-\left(18x^{2}-25x-17\right)
To find the opposite of 32x^{2}+29x-15, find the opposite of each term.
-17x^{2}-37x+51-29x+15-\left(18x^{2}-25x-17\right)
Combine 15x^{2} and -32x^{2} to get -17x^{2}.
-17x^{2}-66x+51+15-\left(18x^{2}-25x-17\right)
Combine -37x and -29x to get -66x.
-17x^{2}-66x+66-\left(18x^{2}-25x-17\right)
Add 51 and 15 to get 66.
-17x^{2}-66x+66-18x^{2}+25x+17
To find the opposite of 18x^{2}-25x-17, find the opposite of each term.
-35x^{2}-66x+66+25x+17
Combine -17x^{2} and -18x^{2} to get -35x^{2}.
-35x^{2}-41x+66+17
Combine -66x and 25x to get -41x.
-35x^{2}-41x+83
Add 66 and 17 to get 83.
15x^{2}-37x+51-32x^{2}-29x+15-\left(18x^{2}-25x-17\right)
To find the opposite of 32x^{2}+29x-15, find the opposite of each term.
-17x^{2}-37x+51-29x+15-\left(18x^{2}-25x-17\right)
Combine 15x^{2} and -32x^{2} to get -17x^{2}.
-17x^{2}-66x+51+15-\left(18x^{2}-25x-17\right)
Combine -37x and -29x to get -66x.
-17x^{2}-66x+66-\left(18x^{2}-25x-17\right)
Add 51 and 15 to get 66.
-17x^{2}-66x+66-18x^{2}+25x+17
To find the opposite of 18x^{2}-25x-17, find the opposite of each term.
-35x^{2}-66x+66+25x+17
Combine -17x^{2} and -18x^{2} to get -35x^{2}.
-35x^{2}-41x+66+17
Combine -66x and 25x to get -41x.
-35x^{2}-41x+83
Add 66 and 17 to get 83.