Question

factor completely. $1 - x^2$

Explanation:

Step1: Recall the difference of squares formula

The difference of squares formula is $a^2 - b^2=(a + b)(a - b)$. In the expression $1 - x^2$, we can rewrite $1$ as $1^2$, so the expression becomes $1^2 - x^2$.

Step2: Apply the difference of squares formula

Here, $a = 1$ and $b = x$. Substituting these into the formula, we get $(1 + x)(1 - x)$.

Answer:

$(1 + x)(1 - x)$