\[\left( a^{2} + 4a \right)^{2} - a^{2}(a - 2)(a + 2) - 4a^{2} \cdot\]
\[\cdot (2a - 1) = a^{4} + 8a^{3} + 16a^{2} - a^{2} \cdot\]
\[\cdot \left( a^{2} - 4 \right) - 8a^{3} + 4a^{2} = a^{4} + 20a^{2} - a^{4} +\]
\[+ \ 4a^{2} = 24a^{2}\]