$$5 ^ { 2 } \frac { 2 ^ { 2 } + a ^ { 2 } } { 2 }$$
$\frac{25\left(a^{2}+4\right)}{2}$
$$25\times \frac{2^{2}+a^{2}}{2}$$
$$25\times \frac{4+a^{2}}{2}$$
$$\frac{25\left(4+a^{2}\right)}{2}$$
$$\frac{100+25a^{2}}{2}$$
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$\frac{25a^{2}}{2}+50$