Answer:
(s +1)²(s +5)
Step-by-step explanation:
Factors of the first denominator are ...
s² +2s +1 = (s +1)²
Factors of the second denominator are ...
s² +6s +5) = (s +1)(s +5)
The least common denominator will be the product of the unique factors to their highest power.
LCD = (s +1)²(s +5)
I find it most useful to leave the denominator in this form. Your computer may require it be multiplied out.
LCD = (s² +2s +1)(s +5) = s³ +2s² +s + 5s² +10s +5
LCD = s³ +7s² +11s +5
