Factorise: x(2x - y) - y2

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).

Mathematics

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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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