\[\left( \frac{3}{10} \right)^{2} - \left( \frac{4}{5} \right)^{2} = \left( \frac{3}{10} \right)^{2} - \left( \frac{8}{10} \right)^{2} =\]
\[= \left( \frac{3}{10} - \frac{8}{10} \right)\left( \frac{3}{10} + \frac{8}{10} \right) =\]
\[= - \frac{5}{10} \cdot \frac{11}{10} = - \frac{55}{100} = - 0,55.\]