Let's expand the given expression:
(x²-2x)² + 3(x²-2x) - 4= (x^2 - 2x)(x^2 - 2x) + 3(x^2 - 2x) - 4= (x^4 - 2x^3 - 2x^3 + 4x^2) + 3x^2 - 6x - 4= x^4 - 4x^3 + 4x^2 + 3x^2 - 6x - 4= x^4 - 4x^3 + 7x^2 - 6x - 4
So, the simplified expression is x^4 - 4x^3 + 7x^2 - 6x - 4.
Let's expand the given expression:
(x²-2x)² + 3(x²-2x) - 4
= (x^2 - 2x)(x^2 - 2x) + 3(x^2 - 2x) - 4
= (x^4 - 2x^3 - 2x^3 + 4x^2) + 3x^2 - 6x - 4
= x^4 - 4x^3 + 4x^2 + 3x^2 - 6x - 4
= x^4 - 4x^3 + 7x^2 - 6x - 4
So, the simplified expression is x^4 - 4x^3 + 7x^2 - 6x - 4.