Factor 49x^2-36

Problem

49*x2−36

Solution

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

2. Determine the square root of the first term, 49*x2 which is 7*x

3. Determine the square root of the second term, 36 which is 6

4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) substituting a=7*x and b=6

Final Answer

49*x2−36=(7*x−6)*(7*x+6)

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