Simplify : (s / (s^(2) + 25)) + (2 / (s^(2) + 4)) - plz help!?

Answer 1

Favorite Answer

Not much to do, except combine the fractions: LCD is

(s^2 + 25)(s^2 + 4), so

s(s^2 + 4) + 2(s^2 + 25)

-----------------------------------

(s^2 + 5)(s^2 + 4)

s^3 + 4s + 2s^2 + 50

------------------------------

(s^2 + 5) (s^2 + 4)

s^3 + 2s^2 + 4s + 50

-----------------------------

(s^2 + 5)(s^2 + 4)

done.

Answer 2

(s / (s^(2) + 25)) + (2 / (s^(2) + 4))=

{s[(s^2)+4] / (s^(2)+4)(s^(2) + 25)} + {2(s^(2)+25)/(s^(2)+4)(s^(2) + 25)}

={ [s(s^(2) + 4)] + 2[s^(2) + 25] } / [(s^(2) + 25)(s^(2) + 4)]

=(s^3 + 2s^2 + 4s + 25) / (s^(2) + 4)(s^(2) + 25)

Answer 3

(s / (s^(2) + 25)) + (2 / (s^(2) + 4)) =

s(s^2 + 4) + 2(s^2 + 25)

--------------------------------- =

(s^2 + 25)(s^2 + 4)

s^3 + 4s + 2s^2 + 50

----------------------------------- =

(s^2 + 25)(s^2 + 4)

s^3 + 2s^2 + 4s + 50

---------------------------- =

(s^2 + 25)(s^2 + 4)