The value of them after solving the equation will be m=-2
The given equation will be
[tex]\dfrac{m}{m+4} + \dfrac{4}{4-m} =\dfrac{m^2}{m^2-16}[/tex]
multiply both sides by [tex](m+4)(m-4)[/tex]
[tex](m+4)(m-4) (\dfrac{m}{m+4} + \dfrac{4}{4-m} )=(m+4)(m-4) \dfrac{m^2}{m^2-16}[/tex]
[tex]m(m-4)-4(m+4)=m^2[/tex]
[tex]m^2-4m-4m-16=m^2[/tex]
[tex]8m=-16[/tex]
[tex]m=-2[/tex]
Thus the value of them after solving the equation will be m=-2
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