Answer:
(x + 4)(x + 1)(x + 1) or (x + 4)(x + 1)²
Explanation:
Factor both denominators and see what you are missing between them
(x^4)/[(x + 1)(x + 1) -8/[x + 4)(x + 1)]
So in order to get a common denominator, we need
(x + 4)(x + 1)(x + 1) as a denominator, or (x +4)(x + 1)²