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Mathematics

Factorise the following:

4x2 - 25y2

Factorisation

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Answer

4x2 - 25y2 = (2x)2 - (5y)2.

Using identity,

a2 - b2 = (a + b)(a - b).

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

Hence, 4x2 - 25y2 = (2x + 5y)(2x - 5y).

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