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y^{3}-8-\left(-x^{2}\right)-y^{3}+x-1
To find the opposite of -x^{2}+y^{3}-x+1, find the opposite of each term.
-8-\left(-x^{2}\right)+x-1
Combine y^{3} and -y^{3} to get 0.
-9-\left(-x^{2}\right)+x
Subtract 1 from -8 to get -9.
-9+x^{2}+x
Multiply -1 and -1 to get 1.
y^{3}-8-\left(-x^{2}\right)-y^{3}+x-1
To find the opposite of -x^{2}+y^{3}-x+1, find the opposite of each term.
-8-\left(-x^{2}\right)+x-1
Combine y^{3} and -y^{3} to get 0.
-9-\left(-x^{2}\right)+x
Subtract 1 from -8 to get -9.
-9+x^{2}+x
Multiply -1 and -1 to get 1.