Factor x^2-121

Problem

x2−121

Solution

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

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

3. Calculate the square root of the first term: √(,x2)=x

4. Calculate the square root of the second term: √(,121)=11

5. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) using a=x and b=11

Final Answer

x2−121=(x−11)*(x+11)

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