Factor 16n^2-9

Problem

16*n2−9

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, 16*n2 which is 4*n

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

4. Apply the formula for the difference of squares by substituting a=4*n and b=3 into the pattern.

Final Answer

16*n2−9=(4*n−3)*(4*n+3)

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