Answer
-2n$^3$+2n$^2$+2
Work Step by Step
Distribute the negative sign to the parentheses and then combine like terms.
(2n$^2$-n$^7$-6)-(2n$^3$-n$^7$-8)
2n$^2$-n$^7$-6-2n$^3$+n$^7$+8
(-2n$^3$)+(2n$^2$)+(-n$^7$+n$^7$)+(-6+8)
-2n$^3$+2n$^2$+0+2
-2n$^3$+2n$^2$+2