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Mathematics

Factorise :

a - b - 4a2 + 4b2

Factorisation

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Answer

Given,

    a - b - 4a2 + 4b2

= a - b - 4(a2 - b2)

= (a - b) - 4(a + b)(a - b)

= (a - b)[1 - 4(a + b)]

= (a - b)(1 - 4a - 4b).

Hence, a - b - 4a2 + 4b2 = (a - b)(1 - 4a - 4b).

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