Simplify (x-9)(x+9)

Problem

(x−9)*(x+9)

Solution

1. Identify the pattern as a product of a sum and a difference, which follows the form (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. Calculate the square of 9 to find the final constant term.

x2−9

x2−81

Final Answer

(x−9)*(x+9)=x2−81

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