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Simplify (x+2)(x-2)

Problem

(x+2)*(x−2)

Solution

  1. Identify the expression as a product of two binomials in the form (a+b)*(a−b)

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

  3. Substitute a=x and b=2 into the formula.

  4. Calculate the squares to get x2−2

  5. Simplify the constant term to reach the final expression.

Final Answer

(x+2)*(x−2)=x2−4


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