Question

simplify the rational expression.\\(\frac{-4m^2 + 8m}{-4m^2 + 16m}\\)\
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enter your answer\
simplify the rational expression.\
show your work here

Explanation:

Step1: Factor numerator

$\frac{-4m(m - 2)}{-4m^2 + 16m}$

Step2: Factor denominator

$\frac{-4m(m - 2)}{-4m(m - 4)}$

Step3: Cancel common factors

$\frac{m - 2}{m - 4}$

Step4: State restrictions

$m
eq 0, m
eq 4$ (to avoid division by zero)

Answer:

$\frac{m - 2}{m - 4}$ (where $m
eq 0, m
eq 4$)