Factor 4x^2-49

Problem

4*x2−49

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, 4*x2 which is 2*x

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

4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) substituting a=2*x and b=7

Final Answer

4*x2−49=(2*x−7)*(2*x+7)

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