"completes the square," or creates a perfect square trinomial, for x2 + 10x + ___
![x^2 + 10x +____](https://img.qammunity.org/2019/formulas/mathematics/middle-school/jeerbxeghsmu5v6fli2vlnmg2ly160nrsm.png)
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
![x^2 + 10x + 25](https://img.qammunity.org/2019/formulas/mathematics/middle-school/nq9anrucdj6mwqfbkewhbbwpinsdfdiy8c.png)
![(x+5)(x+5)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/u9ml1qhk2fti1posa1b55ne5cy772dm5fh.png)
![(x+5)^2](https://img.qammunity.org/2019/formulas/mathematics/high-school/o9yqcf41j5t0am5y1eeqgnlnef06rqibx4.png)
So 25 is the answer