5. Вычислите: $$(7\frac{1}{3})^2 - (4\frac{2}{3})^2$$.

$$(7\frac{1}{3})^2 - (4\frac{2}{3})^2 = (\frac{22}{3})^2 - (\frac{14}{3})^2 = \frac{22^2}{3^2} - \frac{14^2}{3^2} = \frac{484}{9} - \frac{196}{9} = \frac{484-196}{9} = \frac{288}{9} = 32$$.