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Mathematics

Factorise :

25(x - 2y)2 - 4

Factorisation

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Answer

25(x - 2y)2 - 4

Using the formula

[∵ (x2 - y2) = (x + y)(x - y)]

= (5(x - 2y))2 - (2)2

= (5(x - 2y) - 2)(5(x - 2y) + 2)

= (5x - 10y - 2)(5x - 10y + 2)

Hence,25(x - 2y)2 - 4 = (5x - 10y - 2)(5x - 10y + 2)

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