Factor 16x^2-9y^2

Problem

16*x2−9*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, 16*x2 which is 4*x

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

4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) substituting a=4*x and b=3*y

Final Answer

16*x2−9*y2=(4*x−3*y)*(4*x+3*y)

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