Answer
$9x^4+4x^3-2x+1$
Degree: 4
Work Step by Step
$ (18x^4 - 2x^3 - 7x + 8) - (9x^4 - 6x^3 - 5x + 7) =18x^4 - 2x^3 - 7x + 8-9x^4 + 6x^3 + 5x - 7=9x^4+4x^3-2x+1$
For monomials with the same power, you can add their coefficients to combine them.
The degree of a polynomial is the highest power.