Answer
$11x^3+7x^2-12x-4$
Work Step by Step
Consider the given polynomial
$(-6x^3+5x^2-8x+9)+(17x^3+2x^2-4x-13)$
Need to drop the parentheses.
Thus,
$(-6x^3+5x^2-8x+9)+(17x^3+2x^2-4x-13)=-6x^3+5x^2-8x+9+17x^3+2x^2-4x-13$
$=-6x^3+17x^3+5x^2+2x^2-12x-4$
$=11x^3+7x^2-12x-4$