Let's expand the left side of the equation:
(х^2-2x)^2 - 3 = (x^2 - 2x)(x^2 - 2x) - 3= x^4 - 4x^3 + 4x^2 - 3
Now let's simplify the right side of the equation:
2(x^2—2x) = 2x^2 - 4x
Therefore, we have:
x^4 - 4x^3 + 4x^2 - 3 = 2x^2 - 4x
Rearranging terms, we get:
x^4 - 4x^3 + 2x^2 + 4x - 3 = 0
So the equation is x^4 - 4x^3 + 2x^2 + 4x - 3 = 0.
Let's expand the left side of the equation:
(х^2-2x)^2 - 3 = (x^2 - 2x)(x^2 - 2x) - 3
= x^4 - 4x^3 + 4x^2 - 3
Now let's simplify the right side of the equation:
2(x^2—2x) = 2x^2 - 4x
Therefore, we have:
x^4 - 4x^3 + 4x^2 - 3 = 2x^2 - 4x
Rearranging terms, we get:
x^4 - 4x^3 + 2x^2 + 4x - 3 = 0
So the equation is x^4 - 4x^3 + 2x^2 + 4x - 3 = 0.