Answer
$a(x+1)^2$
Work Step by Step
$ax^2+2ax+a\longrightarrow$ a is a common factor.
$a(x^2+2x+1)$
=$a(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$
=$a(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$
=$a(x+\ \ )(x+\ \ )$ All terms in the trinomial are positive.
=$a(x+1)(x+1)$ 1 and 1 have a sum of 2 and a product of 1.
Since $x+1$ is repeated as a factor it is written as an exponent.
