## Precalculus (6th Edition)

$$-6x^{3}-3x^{2}-4x+4$$
Initial equation: $$-(8x^{3}+x-3)+(2x^{3}+x^{2})-(4x^{2}+3x-1)$$ Distribute the signs located in front of the parenthesis: $$-8x^{3}-x+3+2x^{3}+x^{2}-4x^{2}-3x+1)$$ Then combine like terms to arrive at the final answer: $$-6x^{3}-3x^{2}-4x+4$$