# How do you factor the trinomial v^2 + 20v + 100?

Mar 6, 2018

${\left(v + 10\right)}^{2}$

#### Explanation:

We must think of two numbers that have a product of 100 and a sum of 10. Thus, we can deduce that these two numbers are 10 and 10:

10+10=20
10*10=100

$\left(v + 10\right) \left(v + 10\right)$

Which can be summarised as:
${\left(v + 10\right)}^{2}$