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

Factor the following polynomial.4x² - 4x + 1([?]× - [])[]Enter the number that belongs-example-1
User Kadaan
by
3.1k points

1 Answer

22 votes
22 votes

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

User Brian Postow
by
3.0k points
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