The expression 5/m - (m+8)/(m^2-4m) is equivalent to 4(m-7)/m(m-4) option (C) is correct.
Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have a expression:
[tex]=\rm \frac{5}{m} - \frac{m+8}{m^2-4m}[/tex]
To simplified the above expression take the LCM [tex]\rm m^2-4m[/tex]
[tex]=\rm \frac{5(m-4)-(m+8)}{m^2-4m}[/tex]
[tex]=\rm \frac{5m-20-m-8}{m^2-4m}[/tex]
[tex]=\rm \frac{4m-28}{m^2-4m}[/tex]
[tex]=\rm \frac{4(m-7)}{m(m-4)}[/tex]
Thus, the expression 5/m - (m+8)/(m^2-4m) is equivalent to 4(m-7)/m(m-4) option (C) is correct.
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