To solve this we are going to use the special product for a binomial squared: [tex](a+b)^2=a^2+2ab+b^2[/tex].
Notice that the term in the middle of our right side ([tex]2ab[/tex]) is two times the multiplication of the square roots of the first term [tex](a^2)[/tex] and the last term ([tex](b^2)[/tex]
So, to simplify our expression we are going to apply the same. Since the term in the middle is two times the multiplication of the square roots of the first term [tex](x^2)[/tex] and the last term ([tex](x^2)[/tex], the factored form of our expression will be [tex](x+a)^2[/tex]
We can conclude that the factored form of [tex]x^2+2ax+a^2[/tex] is [tex](x+a)^2[/tex]
