Factor 4x^2-9y^2

Problem

4*x2−9*y2

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 4*x2 which is 2*x

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

4. Substitute the values a=2*x and b=3*y into the difference of squares formula.

Final Answer

4*x2−9*y2=(2*x−3*y)*(2*x+3*y)

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