Answer
$$-3x^2+ 2x +2
.$$
Work Step by Step
We simplify by removing the parentheses and then add the like terms as follows:
$$
(3x^2 - 5x + 4) - (6x^2 - 7x + 2)\\
=3x^2 - 5x + 4 - 6x^2 + 7x - 2\\
=-3x^2+ 2x +2
.$$
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