Simplify (x-6)(x+6)

Problem

(x−6)*(x+6)

Solution

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

2. Recognize the difference of squares pattern, which states that (a−b)*(a+b)=a^2−b^2

3. Substitute a=x and b=6 into the pattern.

4. Calculate the square of the terms to find x^2−6^2

5. Simplify the constant term 6^2 to 36

Final Answer

(x−6)*(x+6)=x^2−36

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