Question

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

Answer 1

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

Explanation:

`25x^2 - 10x + 1`

`=> (5x)^2 - 10x + 1`

`"It is in the form "color(purple)(a^2 - 2ab + b^2 " where " a = 5x, b = 1`

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

`:. => (5x - 1)^2`