\[\frac{m + 2}{4m^{2} - 16m + 16} - \frac{1}{3m - 6} =\]
\[= \frac{m + 2^{\backslash 3}}{4 \cdot (m - 2)^{2}} - \frac{1^{\backslash 4(m - 2)}}{3 \cdot (m - 2)} =\]
\[= \frac{3 \cdot (m + 2) - 4 \cdot (m - 2)}{12 \cdot (m - 2)^{2}} =\]
\[= \frac{3m + 6 - 4m + 8}{12 \cdot (m - 2)^{2}} =\]
\[= \frac{14 - m}{12 \cdot (m - 2)²}\]