Factor 16-x^2

Problem

16−x2

Solution

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

2. Rewrite each term as a perfect square to determine the values of a and b

16=4

x2=(x)2

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

4. Substitute a=4 and b=x into the formula to obtain the factored form.

Final Answer

16−x2=(4−x)*(4+x)

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