Answer
$(2b+13)^2$
Work Step by Step
For the polynomial
$$
4b^2 +52b +169
$$
one can see that this is a perfect square. We use the perfect square factoring formula:
$(a+b)^2=a^2+2ab+b^2$
That is
$$
4b^2 +52b +169=(2b+13)^2
.$$
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