Factor x^2-6

Problem

x2−6

Solution

1. Identify the expression as a difference of squares by recognizing that any positive number k can be written as (√(,k))2

2. Rewrite the constant term 6 as a square.

6=(√(,6))2

3. Apply the formula for the difference of squares, which states a2−b2=(a−b)*(a+b)

4. Substitute a=x and b=√(,6) into the formula.

(x−√(,6))*(x+√(,6))

Final Answer

x2−6=(x−√(,6))*(x+√(,6))

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