Factor x-1

Problem

x−1

Solution

1. Identify the expression as a difference of terms that can be viewed as squares.

2. Rewrite the terms using square roots to fit the difference of squares pattern a^2−b^2=(a−b)*(a+b)

3. Express x as (√(,x))^2 and 1 as 1^2

4. Apply the formula for the difference of squares using a=√(,x) and b=1

Final Answer

x−1=(√(,x)−1)*(√(,x)+1)

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