Factor 9x^2-49

Problem

9*x2−49

Solution

1. Identify the expression as a difference of two squares, which follows the pattern a2−b2=(a−b)*(a+b)

2. Determine the square root of the first term, 9*x2 which is 3*x

3. Determine the square root of the second term, 49 which is 7

4. Apply the formula by substituting a=3*x and b=7 into the factored form (a−b)*(a+b)

Final Answer

9*x2−49=(3*x−7)*(3*x+7)

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