[tex]E = {2}^{2n + 3} \times {25}^{n} - {4}^{n} \times {5}^{2n} [/tex]
[tex]E = {2}^{2n + 3} \times {5}^{2n} - {2}^{2n} \times {5}^{2n} [/tex]
[tex]E = {2}^{2n} \times {5}^{2n} ( {2}^{3} - 1)[/tex]
[tex]E = {2}^{2n} \times {5}^{2n} (8 - 1)[/tex]
[tex]E = {2}^{2n} \times {5}^{2n} \times 7 \: \: \: \vdots \: \: \: 7 \: \: \: ,\forall \: n \: \in \: \mathbb{N}[/tex]