Factorisation of x 2 - 4xy + 4y 2 is 1. (x + 2y)(x - 2y) 2. (x + 2y)(x + 2y) 3. (x - 2y)(x - 2y) 4. (2x - y)(2x + y)

x 2 - 4xy + 4y 2 = x 2 - 2xy - 2xy + 4y 2 = x(x - 2y) - 2y(x - 2y) = (x - 2y)(x - 2y). Hence, Option 3 is the correct option.

Mathematics

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x² - 4xy + 4y² = x² - 2xy - 2xy + 4y²

= x(x - 2y) - 2y(x - 2y)

= (x - 2y)(x - 2y).

Hence, Option 3 is the correct option.

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