Let's simplify the given expression step by step:
Expand the squared terms:(x^2 - 2x)(x^2 - 2x) - 2(x - 1)(x - 1) - 1= (x^4 - 4x^3 + 4x^2) - 2(x^2 - 2x + 1) - 1= x^4 - 4x^3 + 4x^2 - 2x^2 + 4x - 2 - 1
Combine like terms:= x^4 - 4x^3 + 2x^2 + 4x - 3
Therefore, (x^(2)-2x)^(2)-2(x-1)^(2)-1 = x^4 - 4x^3 + 2x^2 + 4x - 3 = 0.
Let's simplify the given expression step by step:
Expand the squared terms:
(x^2 - 2x)(x^2 - 2x) - 2(x - 1)(x - 1) - 1
= (x^4 - 4x^3 + 4x^2) - 2(x^2 - 2x + 1) - 1
= x^4 - 4x^3 + 4x^2 - 2x^2 + 4x - 2 - 1
Combine like terms:
= x^4 - 4x^3 + 2x^2 + 4x - 3
Therefore, (x^(2)-2x)^(2)-2(x-1)^(2)-1 = x^4 - 4x^3 + 2x^2 + 4x - 3 = 0.