$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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