What is the result of adding -3x²-5x +1 and 8x²-2x-9?

To add the two given expressions, we add the coefficients of the like terms.

The like terms are:
-3x² and 8x² (they both have ² as their exponent)
-5x and -2x (they both have x as their variable)
1 and -9 (they both have no variable)

Adding the coefficients of the like terms, we get:
-3x² + 8x² = 5x²
-5x - 2x = -7x
1 - 9 = -8

Therefore, the result of adding -3x²-5x +1 and 8x²-2x-9 is 5x² - 7x - 8.