Find the least common denominator x^4/x^2+2x+1 and - 8/x^2+5x+4

(x + 4) (x + 1) (x + 1) or (x + 4) (x + 1) ²

Step-by-step 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