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Mathematics

Factorise:

x(2x - y) - y2

Factorisation

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Answer

Given,

⇒ x(2x - y) - y2

⇒ 2x2 - xy - y2

⇒ 2x2 - 2xy + xy - y2

⇒ 2x(x - y) + y(x - y)

⇒ (2x + y)(x - y).

Hence, x(2x - y) - y2 = (2x + y)(x - y).

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