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Factor x^2-3

Problem

x2−3

Solution

  1. Identify the expression as a difference of squares. Although 3 is not a perfect square of an integer, it can be written as (√(,3))2

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

  3. Substitute a=x and b=√(,3) into the formula.

Final Answer

x2−3=(x−√(,3))*(x+√(,3))


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