Solve: $2 x + 8 x + 1 + (8 x + 1)^{2}$

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Solution

$\begin{matrix} 2 x + 8 x + 1 + {(8 x + 1)}^{2} \Rightarrow 2 x + 8 x + 1 + 64 x^{2} + 16 x + 1 \Rightarrow 10 x + 2 + 64 x^{2} + 16 x \Rightarrow 26 x + 64 x^{2} + 2 [{(a + b)}^{2} = a^{2} + 2 a b + b^{2}] 64 x^{2} + 26 x + 2 \end{matrix}$

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