Question

What is the factored form of x2 + 2ax + a2?

Answer 1

(x+a)^2

Explanation:

Answer 2

To solve this we are going to use the special product for a binomial squared:
`(a+b)^2=a^2+2ab+b^2`.
Notice that the term in the middle of our right side (
`2ab`) is two times the multiplication of the square roots of the first term
`(a^2)` and the last term (
`(b^2)`

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
`(x^2)` and the last term (
`(x^2)`, the factored form of our expression will be
`(x+a)^2`

We can conclude that the factored form of
`x^2+2ax+a^2` is
`(x+a)^2`