Factor x^2-169

Problem

x^2−169

Solution

1. Identify the expression as a difference of two squares, which follows the pattern a^2−b^2

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

3. Calculate the square root of x^2 which is x

4. Calculate the square root of 169 which is 13

5. Apply the formula for the difference of squares: a^2−b^2=(a−b)*(a+b)

6. Substitute a=x and b=13 into the formula.

Final Answer

x^2−169=(x−13)*(x+13)

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