Mathematics

Factorise :

2a2 - 17ab + 26b2

Factorisation

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Answer

2a2 - 17ab + 26b2

= 2a2 - (13 + 4)ab + 26b2

= 2a2 - 13ab - 4ab + 26b2

= (2a2 - 13ab) - (4ab - 26b2)

= a(2a - 13b) - 2b(2a - 13b)

= (2a - 13b)(a - 2b)

Hence,2a2 - 17ab + 26b2 = (2a - 13b)(a - 2b)

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