Factor 1-x^2

Problem

1−x2

Solution

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

2. Rewrite the terms as perfect squares to identify a and b

1=1

x2=(x)2

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

4. Substitute a=1 and b=x into the formula.

(1−x)*(1+x)

Final Answer

1−x2=(1−x)*(1+x)

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