Chapter 8 - Polynomials and Factoring - 8-1 Adding and Subtracting Polynomials - Practice and Problem-Solving Exercises - Page 478: 39

$5h^{4} + h^{3}$

In order to subtract monomials, we combine like terms, but we distribute the negative to all of the terms past the subtraction sign. Like terms are terms that have the same variable raised to the same power. Thus, we combine like terms to obtain the answer: $5h^{4} + h^{3}$