Explanation

Given the expression a² - 2a + 1 - b²:

Step 1: Factor the perfect square trinomial

a² - 2a + 1 = (a - 1)²

So, the expression becomes (a - 1)² - b²

Step 2: Apply the difference of squares formula

(a - 1)² - b² = (a - 1 - b)(a - 1 + b)

Explanation

In Bloom's Taxonomy, Comprehension refers to understanding and interpreting the meaning of information.

It includes skills like summarizing, explaining, and translating ideas into new contexts.