What is the solution to the equation m/m plus 4 plus 4/4-m = m^2/m^2-16?

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.

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d