Chapter 5 - Section 5.1 - Introduction to Polynomials and Polynomial Functions - Exercise Set - Page 325: 50

$-x^{2n}+2x^n-2$

Consider the given polynomial $(8x^{2n}+x^n-4)-(9x^{2n}-x^n-2)$ Need to drop the parentheses. Thus, $(8x^{2n}+x^n-4)-(9x^{2n}-x^n-2)=8x^{2n}+x^n-4-9x^{2n}+x^n+2$ or, $=8x^{2n}-9x^{2n}+x^n-4+x^n+2$ or, $=-x^{2n}+2x^n-2$