#### Answer

8x$^4$-5x$^3$+6

#### Work Step by Step

Distribute the negative sign to the parentheses and then combine like terms to simplify.
(13x$^4$-8x$^3$+2x$^2$)-(5x$^4$-3x$^3$+2x$^2$-6)
13x$^4$-8x$^3$+2x$^2$-5x$^4$+3x$^3$-2x$^2$+6
(13x$^4$-5x$^4$)+(-8x$^3$+3x$^3$)+(2x$^2$-2x$^2$)+(6)
8x$^4$-5x$^3$+0+6
8x$^4$-5x$^3$+6