"completes the square," or creates a perfect square trinomial, for x2 + 10x + ___

To complete the square , we take half of coefficient of middle term and then we square it. Here middle term is 10x.
Coefficient of middle term is 10
Half of 10 is 5
Then square of 5 is 25
We add 25 to get perfect square trinomial



So 25 is the answer