Question

Can anyone help me with this algebra problem? Help is greatly appreciated!!

Answer 1

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