Factor x^2-16

Problem

x2−16

Solution

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

2. Determine the values of a and b by taking the square root of each term.

3. Calculate a=√(,x2)=x

4. Calculate b=√(,16)=4

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

6. Substitute the values of a and b into the formula.

Final Answer

x2−16=(x−4)*(x+4)

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