Answer
$x^2 - 4x - 10 $
Work Step by Step
We simplify by removing the parentheses and then add the like terms as follows:
$$
(2x^2 - 5x - 2) - (x^2 - x + 8)\\
=2x^2 - 5x - 2 - x^2 + x - 8\\
=x^2 - 4x - 10
.$$
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