Factor 9-x^2

Problem

9−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

9=3

x2=(x)2

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

a=3

b=x

4. Substitute the values into the formula to obtain the factored form.

(3−x)*(3+x)

Final Answer

9−x2=(3−x)*(3+x)

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