Simplify (x-4)(x+4)

Problem

(x−4)*(x+4)

Solution

1. Identify the expression as a product of a sum and a difference, which follows the pattern (a−b)*(a+b)

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

3. Substitute a=x and b=4 into the formula.

4. Calculate the square of 4 to get 4=16

Final Answer

(x−4)*(x+4)=x2−16

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