Answer
$${\text{True}}$$
Work Step by Step
$$\eqalign{
& {\text{True, because the denominator }}{\left( {x + 5} \right)^3}{\text{ is a linear factor repeated,}} \cr
& {\text{then the partial fraction decomposition is of the form:}} \cr
& \frac{A}{{x + 5}} + \frac{B}{{{{\left( {x + 5} \right)}^2}}} + \frac{C}{{{{\left( {x + 5} \right)}^3}}} \cr} $$