Respuesta :

kudzordzifrancis

ANSWER

A.

[tex]{(x - 1)}^{2} [/tex]

EXPLANATION

The given expression is

[tex] {x}^{2} - 2x + 1[/tex]

We split the middle term to obtain,

[tex] {x}^{2} - x - x + 1[/tex]

Factor to obtain

[tex] x(x - 1) - 1(x - 1) [/tex]

Factor further to get,

[tex](x - 1)(x - 1)[/tex]

This is the same as;

[tex] {(x - 1)}^{2} [/tex]

The correct choice is A

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Answer:

(x – 1)^2

Step-by-step explanation:

x^2 – 2x + 1

= x • x – 2x + 1 • 1

= x • x – 2(x • 1) + 1 • 1

= (x – 1)^2

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