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find the square. simplify your answer. $(x - 1)^2$

Question

find the square. simplify your answer.
$(x - 1)^2$

Explanation:

Step1: Expand using square formula

Recall the formula $(a-b)^2 = a^2 - 2ab + b^2$. Here, $a=x$, $b=1$.
$$(x-1)^2 = x^2 - 2(x)(1) + 1^2$$

Step2: Simplify the expression

Calculate each term: $2(x)(1)=2x$, $1^2=1$.
$$x^2 - 2x + 1$$

Answer:

$x^2 - 2x + 1$