Answer:
(m + 30) / [(m - 4)(m + 3)(m - 3)].
Step-by-step explanation:
m+30/m^2 -16 / m^2 -9/m+4.
m+30/m^2 -16
= m + 30
----------
(m - 4)(m + 4)
m^2 -9/m+4
= (m + 3)(m - 3)
--------------------
m + 4
So m+30/m^2 -16 / m^2 -9/m+4
= (m + 30/ m^2 - 16 * m + 4 / m^2 - 9
= m + 30 m + 4
---------- * ------------
(m - 4)(m + 4) (m + 3)m - 3)
= (m + 30)
--------------------- (answer).
(m - 4)(m + 3)(m - 3)
