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Factor completely this expression with step by step solution x^2-2x+1-y^2.

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Mlcparra16id
x² - 2x + 1 - y²
= (x² - 2x + 1) - y²
= (x - 1)² - y²
This is the difference of two squares, where a² - b² = (a + b)(a - b)
= (x - y - 1)(x + y - 1)