Answer
$(4x+1)^2$
Work Step by Step
$16x^2+8x+1$
To factor the perfect squares, let us remember
$(a+b)^2=a^2+2ab+b^2$
and
$(a-b)^2=a^2-2ab+b^2.$
Therefore, when we factor our perfect square, we get
$(4x+1)^2.$
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