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Simplify (x+4)(x-4)

Problem

(x+4)*(x−4)

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=4 into the formula.

  4. Calculate the squares to get x2−4

  5. Simplify the constant term 4 to 16

Final Answer

(x+4)*(x−4)=x2−16


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