Answer
$(3x+4)^2$
Work Step by Step
For the polynomial
$$
9x^2+24x+16
$$
We see that we have a perfect square:
$$
9x^2+24x+16=(3x+4)^2
.$$
Because $4\times 4=16$, $3\times3=9$ and using FOIL gives the right middle term.
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