Answer
$4(x+2)^2$
Work Step by Step
$4x2+16x+16\longrightarrow$ 4 is a common factor.
=$4(x^2+4x+4)$
=$4(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$
=$4(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$
=$4(x+\ \ )(x+\ \ )$ All signs in the trinomial are positive.
=$4(x+2)(x+2)$ 2 and 2 have a sum of 4 and a product of 4.
Since $x+2$ is repeated as a factor it is written as an exponent in the final solution.
