Factor 16x^2-9

Problem

16*x2−9

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*x2 which is 4*x

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

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

Final Answer

16*x2−9=(4*x−3)*(4*x+3)

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