Answer
$(5x+1)^{2}$
Work Step by Step
If a and b are real numbers, we know that $a^{2}+2ab+b^{2}=(a+b)^{2}$.
Therefore, we know that $25x^{2}+10x+1=(5x+1)^{2}$. In this case, $a=5x$ and $b=1$.
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