# How do you factor s^2+10s+25?

Jun 2, 2016

${\left(s + 5\right)}^{2}$

#### Explanation:

Consider the structure: (s+?)(s+?) where the two ? may od may not be different values.

Looking at the given equation we spot that $5 \times 5 = 25$ and that $5 + 5 = 10$. So these must be the values given to ?#

This gives

$\left(s + 5\right) \left(s + 5\right)$ as both bracket contents are the same we have

${\left(s + 5\right)}^{2}$