The value that must be added to x² + 16x to make it a perfect square trinomial is 64.
To make x² + 16x in the form (x + a)², we add half the coefficient of 16x to it.
So, x² + 16x + (16/2)² = x² + 16x + 8²
= x² + 16x + 64
= (x + 8)²
So, the perfect square trinomial is x² + 16x + 64.
So, to make x² + 16x = x² + 16x + 64, a perfect square trinomial, we added 64 to it.
So, the value that must be added to x² + 16x to make it a perfect square trinomial is 64.
Learn more about perfect square trinomial here:
https://brainly.com/question/26033441
