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Factorisation by Regrouping Terms

Factorise : 5...

Question

Factorise : $(5 a - 2 b)^{2} - (2 a - b)^{2}$

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Solution

$(5 a - 2 b)^{2} - (2 a - b)^{2} = (5 a - 2 b + 2 a - b) (5 a - 2 b - 2 a + b) = (7 a - 3 b) (3 a - b)$

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Factorisation by Regrouping Terms

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