Mathematics
Factorize:
x - y - x2 + y2
Factorisation
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Answer
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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