Factor x^2-64

Problem

x2−64

Solution

1. Identify the expression as a difference of two squares, which follows the form a2−b2

2. Determine the values of a and b by taking the square root of each term.

3. Calculate a=√(,x2)=x

4. Calculate b=√(,64)=8

5. Apply the formula for the difference of squares: a2−b2=(a−b)*(a+b)

6. Substitute the values of a and b into the formula.

Final Answer

x2−64=(x−8)*(x+8)

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