Выполним задание:
Подставим значение m = \(\frac{2}{3}\) в выражение -m(m + 3) + (m - 5)(5 + m):
-\(\frac{2}{3}\)(\(\frac{2}{3}\) + 3) + (\(\frac{2}{3}\) - 5)(5 + \(\frac{2}{3}\)) = -\(\frac{2}{3}\)(\(\frac{2}{3}\) + \(\frac{9}{3}\)) + (\(\frac{2}{3}\) - \(\frac{15}{3}\))( \(\frac{15}{3}\) + \(\frac{2}{3}\)) = -\(\frac{2}{3}\) \(\cdot\) \(\frac{11}{3}\) + (-\(\frac{13}{3}\)) \(\cdot\) \(\frac{17}{3}\) = -\(\frac{22}{9}\) - \(\frac{221}{9}\) = -\(\frac{243}{9}\) = -27
Ответ: -27