Subtract the polynomials.

(5x^2 - 3x - 2) - (-2x^2 - x + 10)

Let's simplify step-by-step. 5 x2 - 3x - 2 - ( - 2 x2 - x + 10) Distribute the Negative Sign: = 5 x2 - 3x - 2 + - 1 ( - 2 x2 - x + 10) = 5 x2 + - 3x + - 2 + - 1 ( - 2 x2) + - 1 (-x) + (-1) (10) = 5 x2 + - 3x + - 2 + 2 x2 + x + - 10 Combine Like Terms: = 5 x2 + - 3x + - 2 + 2 x2 + x + - 10 = (5 x2 + 2 x2) + ( - 3x + x) + (-2 + - 10) = 7 x2 + - 2x + - 12 Answer: = 7 x2 - 2x - 12