Mathematics
Factorize:
x(x - 2) - y(y - 2)
Factorisation
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Answer
Given,
⇒ x(x - 2) - y(y - 2)
⇒ x2 - 2x - y2 + 2y
⇒ x2 - y2 + 2y - 2x
⇒ (x - y)(x + y) + 2(y - x)
⇒ (x - y)(x + y) - 2(x - y)
⇒ (x - y)(x + y - 2).
Hence, x(x - 2) - y(y - 2) = (x - y)(x + y - 2).
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