To explain this specific problem, first, x² + 8x + 16 is a
perfect square trinomial.
If you have an idea in completing the square,
then you’d be able to know how to make a perfect square based on the equation x² + bx by
getting the half of b then squaring the answer, and then adding it.
With
regards to this, half of 8 is 4 and 16 when it’s squared, which is what we got.
Since this a perfect square trinomial, we can factor this by getting the half
of b and we can get (x + 4)².
I am hoping that this answer has satisfied your
query about and it will be able to help you.
