Factor 100-x^2

Problem

100−x^2

Solution

1. Identify the expression as a difference of two squares, which follows the general form a^2−b^2

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

3. Determine that 100=10^2 and x^2=(x)^2 so a=10 and b=x

4. Apply the formula for the difference of squares, a^2−b^2=(a−b)*(a+b)

5. Substitute the values into the formula to get (10−x)*(10+x)

Final Answer

100−x^2=(10−x)*(10+x)

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