# How do you factor a^2 - 2ab +b^2 ?

Mar 4, 2018

${\left(a - b\right)}^{2}$

#### Explanation:

Break down the expression into a simpler form by regrouping and putting brackets.

${a}^{2} - 2 a b + {b}^{2}$

${a}^{2} - a b - a b + {b}^{2}$

$a \left(a - b\right) - b \left(a - b\right)$

$\left(a - b\right) \left(a - b\right)$

${\left(a - b\right)}^{2}$