Question

Factor the following polynomial.4x² - 4x + 1([?]× - [])[]Enter the number that belongs in thegreen box.

Answer 1

Given:

`4x^2-4x+1`

To factorize:

Step-by-step explanation:

Factorizing by using the grouping method we get,

`\begin{gathered} 4x^2-4x+1=4x^2-2x-2x+1 \\ =2x(2x-1)-(2x-1) \\ =(2x-1)(2x-1) \\ =(2x-1)^2 \end{gathered}`

Therefore, the factorized form is,

`(2x-1)^2`

Final answer:

The factorized form is,

`(2x-1)^2`