Answer
$(x+15)^2$
Work Step by Step
$x^2+30x+225$ has no common monomial factors.
=$(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$
=$(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$
=$(x+\ \ )(x+\ \ )$ All terms in the trinomial are positive.
=$(x+15)(x+15)$ 15 and 15 have a sum of 30 and a product of 225.
Since $x+15$ is repeated as a factor it is written as an exponent.