Question

Which expression is equivalent to the difference shown?Slenm+8m? = 4m

Answer 1

- The solution steps for the question is given below:

`\begin{gathered} (5)/(m)-(m+8)/(m^2-4m) \\ \\ \text{ Factorize the bottom of the right-hand term} \\ (5)/(m)-(m+8)/(m(m-4)) \\ \\ \text{ The LCM of }m\text{ and }m(m-4)\text{ is }m(m-4) \\ \text{ Thus, we have:} \\ \\ (5(m-4))/(m(m-4))-(m+8)/(m(m-4)) \\ \\ \text{ Thus, we can combine both expressions since they have the same denominator} \\ (5(m-4)-(m+8))/(m(m-4)) \\ \\ \text{ Expand the numerator and proceed to simplify} \\ \\ (5m-20-m-8)/(m(m-4))=(4m-28)/(m(m-4))=(4(m-7))/(m(m-4)) \end{gathered}`

Final Answer

The answer is:

`(4(m-7))/(m(m-4))\text{ \lparen OPTION B\rparen}`