#### Answer

$$9p^{2}+30p+25$$

#### Work Step by Step

Initial equation:
$$(3p+5)^{2}$$ The expression can be rewritten by expanding it to two set of parenthesis like so:
$$(3p+5)(3p+5)$$ After expansion, it is a matter of simple distribution of terms in the first set of parenthesis to the second. The $3p$ in the first parenthesis will be multiplied by the two terms in the second, and the $5$ will be as well. Doing this gives you:
$$9p^{2}+15p+15p+25$$ All that is left is to combine like terms to arrive at the final answer:
$$9p^{2}+30p+25$$