The factor of a² - 2a + 1 - b² is _____?
- (a−1−b)(a−1+b)
- (a+1−b)(a−1+b)
- (a−1−b)(a+1+b)
- None of these
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)
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