Question

Factor the expression. x2 – 2x + 1 A. (x – 1)2 B. (x + 1)2 C. (x + 1)(x – 1)

Answer 1

ANSWER

A.

${(x - 1)}^{2}$

EXPLANATION

The given expression is

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

We split the middle term to obtain,

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

Factor to obtain

$x(x - 1) - 1(x - 1)$

Factor further to get,

$(x - 1)(x - 1)$

This is the same as;

${(x - 1)}^{2}$

The correct choice is A