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Factorisation by Regrouping Terms

Factorise : 2...

Question

Factorise : $2 a^{2} - 17 a b + 26 b^{2}$

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Solution

$2 a^{2} - 17 a b + 26 b^{2} = 2 a^{2} - 13 a b - 4 a b + 26 b^{2} = a (2 a - 13 b) - 2 b (2 a - 13 b) = (2 a - 13 b) (a - 2 b)$

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