Mathematics

Factorize:
x - y - x² + y²

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Given,

⇒ x - y - x² + y²

⇒ -x² + y² + x - y

⇒ -(x² - y²) + x - y

⇒ -(x + y)(x - y) + x - y

⇒ (x - y)[-(x + y) + 1]

⇒ (x - y)(1 - x - y).

Hence, x - y - x² + y² = (x - y)(1 - x - y).

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