Answer:
m= -1
Step-by-step explanation:
Given:
m/m plus 4 plus 4/4-m = m^2/m^2-16
interpreted as
m / ((m+4)(4-m)) = m^2/(m^2-16)
Solution
m / ((m+4)(4-m)) = m^2/(m^2-16)
rearrage and expand
-m / ((m+4)(m-4)) = m^2 / ((m+4)(m-4))
if m does not equal 0, we can cancel terms in numerator
-1 / ((m+4)(m-4)) = m / ((m+4)(m-4))
if m does not equal +4 nor -4, we can cancel terms in denomnator
-1 = m
Hence m=-1 if m does not equal 0, -4 or +4, which is valid.
