To simplify the given expression, we first distribute the negative sign in front of the second set of parentheses:
19 - (3x^2 - 2x) - (6x - x^2)= 19 - 3x^2 + 2x - 6x + x^2= 19 - 2x^2 - 4x
Now, we simplify further by combining like terms:
19 - 2x^2 - 4x= -2x^2 - 4x + 19
Therefore, the simplified expression is -2x^2 - 4x + 19.
To simplify the given expression, we first distribute the negative sign in front of the second set of parentheses:
19 - (3x^2 - 2x) - (6x - x^2)
= 19 - 3x^2 + 2x - 6x + x^2
= 19 - 2x^2 - 4x
Now, we simplify further by combining like terms:
19 - 2x^2 - 4x
= -2x^2 - 4x + 19
Therefore, the simplified expression is -2x^2 - 4x + 19.