Simplify (x+9)(x-9)

Problem

(x+9)*(x−9)

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=9 into the formula.

4. Simplify the resulting terms by calculating 9

Final Answer

(x+9)*(x−9)=x2−81

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