We have to simplify the expression:
[tex](x^5-2x^3+x^2-7)-(2x^5+7x^4-4x^3+2)[/tex]The second parenthesis has a "-" sign at the front. So, all the signs of each term within the parenthesis changes.
We have:
[tex]\begin{gathered} (x^5-2x^3+x^2-7)-(2x^5+7x^4-4x^3+2) \\ =x^5-2x^3+x^2-7-2x^5-7x^4+4x^3-2 \end{gathered}[/tex]Now, we can simplify the expression by adding/subtracting like terms (terms whose variables and exponents are the same). This process of simplification is shown below:
[tex]\begin{gathered} x^5-2x^3+x^2-7-2x^5-7x^4+4x^3-2 \\ =-x^5-7x^4+2x^3+x^2-9 \end{gathered}[/tex]Answer[tex]-x^5-7x^4+2x^3+x^2-9[/tex]