Rational functions are written as fractions. The expression equivalent to [tex]\frac{\dfrac{m-4}{m+4} }{m+2}[/tex] is [tex]\frac{m-4}{m^2+6m+8}[/tex]
Given the rational function expressed as:
[tex]\frac{\dfrac{m-4}{m+4} }{m+2}[/tex]
This can be further expressed as:
[tex]\frac{m-4}{(m+4(m+2)}[/tex]
Factorize the denominator to have;
[tex]\frac{m-4}{m^2+4m+2m+8}\\ \frac{m-4}{m^2+6m+8}[/tex]
Hence the expression equivalent to [tex]\frac{\dfrac{m-4}{m+4} }{m+2}[/tex] is [tex]\frac{m-4}{m^2+6m+8}[/tex]
Learn more on rational function here: https://brainly.com/question/1917026
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