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There is no such function, because they're not equal. Perhaps the second expression should be x^2-2x+1+C...

What have you tried? Here are two options:

sage: var('C')
sage: expand(((x-1)^2+C) - (x^2-2*x+1+C))
0
sage: bool(expand((x-1)^2+C) == expand(x^2-2*x+1+C))
True