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Mathematics

Factorise by grouping method :

16(a + b)2 - 4a - 4b

Factorisation

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Answer

Given,

   16(a + b)2 - 4a - 4b

= 16(a + b)2 - 4(a + b)

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

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

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

Hence, 16(a + b)2 - 4a - 4b = 4(a + b)(4a + 4b - 1).

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