To simplify the expression, we first expand the terms inside the brackets:
(x^2 - 3x)^2 = x^4 - 6x^3 + 9x^22x(x - 4x^2) = 2x^2 - 8x^3
Now we substitute these expanded terms back into the original expression:
(x^4 - 6x^3 + 9x^2) - (2x^2 - 8x^3)
Now we simplify the terms by combining like terms:
x^4 - 6x^3 + 9x^2 - 2x^2 + 8x^3
= x^4 - 6x^3 + 8x^3 + 9x^2 - 2x^2= x^4 + 2x^3 + 7x^2
Therefore, the simplified expression is x^4 + 2x^3 + 7x^2.
To simplify the expression, we first expand the terms inside the brackets:
(x^2 - 3x)^2 = x^4 - 6x^3 + 9x^2
2x(x - 4x^2) = 2x^2 - 8x^3
Now we substitute these expanded terms back into the original expression:
(x^4 - 6x^3 + 9x^2) - (2x^2 - 8x^3)
Now we simplify the terms by combining like terms:
x^4 - 6x^3 + 9x^2 - 2x^2 + 8x^3
= x^4 - 6x^3 + 8x^3 + 9x^2 - 2x^2
= x^4 + 2x^3 + 7x^2
Therefore, the simplified expression is x^4 + 2x^3 + 7x^2.