Factor 36x^2-121

Problem

36*x^2−121

Solution

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

2. Determine the square root of the first term 36*x^2 which is 6*x

3. Determine the square root of the second term 121 which is 11

4. Apply the formula for the difference of squares a^2−b^2=(a−b)*(a+b) using a=6*x and b=11

Final Answer

36*x^2−121=(6*x−11)*(6*x+11)

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