Factor 4x^2-81y^2

Problem

4*x2−81*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, 4*x2 which is 2*x

3. Determine the square root of the second term, 81*y2 which is 9*y

4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) substituting a=2*x and b=9*y

Final Answer

4*x2−81*y2=(2*x−9*y)*(2*x+9*y)

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