# How do you factor completely 25x^2 -10x+ 1?

Jun 15, 2018

color(blue)( => (5x - 1)^2

#### Explanation:

$25 {x}^{2} - 10 x + 1$

$\implies {\left(5 x\right)}^{2} - 10 x + 1$

$\text{It is in the form "color(purple)(a^2 - 2ab + b^2 " where } a = 5 x , b = 1$

color(crimson)(a^2 - 2ab + b^2 = (a - b)^2

$\therefore \implies {\left(5 x - 1\right)}^{2}$