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