Factor 36x^2-49y^2

Problem

36*x2−49*y2

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 36*x2 which is 6*x

3. Determine the square root of the second term 49*y2 which is 7*y

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

Final Answer

36*x2−49*y2=(6*x−7*y)*(6*x+7*y)

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