Factor b^2-16

Problem

b2−16

Solution

1. Identify the expression as a difference of two squares, which follows the pattern a2−b2

2. Determine the square roots of each term. The square root of b2 is b and the square root of 16 is 4

3. Apply the formula for the difference of squares: a2−b2=(a−b)*(a+b)

4. Substitute a=b and b=4 into the formula to obtain the factors.

Final Answer

b2−16=(b−4)*(b+4)

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