Factor 64x^2-49

Problem

64*x^2−49

Solution

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

2. Determine the square root of the first term, 64*x^2 which is 8*x

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

4. Apply the formula for the difference of squares, a^2−b^2=(a−b)*(a+b) using a=8*x and b=7

Final Answer

64*x^2−49=(8*x−7)*(8*x+7)

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