Question

Simlify the sum 4/m+9 + 5/m^2-81

Answer 1

Hello there!

9m - 76/(m + 9)(m - 9)

Hope this helps! :)

Answer 2

Answer:

4m - 31
-------------------
(m+9)(m-9)

Step-by-step explanation:

1) the given sum is:

4 5
------ + -------------
m+9 m^2 - 81

2) factor m^2 - 81

m^2 - 81 = (m + 9)(m - 9)

3) rewrite the sum

4 5
------- + ------------------
m+9 (m+9)(m-9)

4) least common denominator: (m + 9)(m - 9)

4(m-9) + 5 4m - 36 + 5 4m - 31
--------------------- = ------------------- = ----------------
(m+9)(m-9) (m+9)(m-9) (m+9)(m-9)