Subtract.

(5x^6+9x^4-2x^3-3)-(8x^6-8x^5+x^4-4)

(5-8) x^6

+8 x^5
+(9-1) x^4
-2 x^3
-3+4

= -3 x^6 + 8 x^5 + 8 x^4 - 2 x^3 + 1