The problem asks to add the given polynomials: $(x^2+8x-2)+(-9x^2-4x+1)+(x^2-x-5)$. The final answer should be simplified but not factored.

1. Problem Description

The problem asks to add the given polynomials: $(x^2+8x-2)+(-9x^2-4x+1)+(x^2-x-5)$. The final answer should be simplified but not factored.

2. Solution Steps

First, we can remove the parentheses:

$x^2 + 8x - 2 - 9x^2 - 4x + 1 + x^2 - x - 5$

Next, we group the like terms together:

$(x^2 - 9x^2 + x^2) + (8x - 4x - x) + (-2 + 1 - 5)$

Now, we add the coefficients of the like terms:

$(1 - 9 + 1)x^2 + (8 - 4 - 1)x + (-2 + 1 - 5)$

$-7x^2 + 3x - 6$

3. Final Answer

-7x^2+3x-6