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Factorise : 2x^2 - 5/6x + 1/12

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Factorise : \(2x^2-\frac56x+\frac1{12}\)

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\(2x^2-\frac56x+\frac1{12}\) = \(\frac{24x^2-10x+1}{12}\)

= \(\frac1{12}(24x^2-10x+1)=\frac1{12}(24x^2-6x-4x+1)\)

= \(\frac1{12}\{6x(4x-1)\}-1(4x-1)\}= \frac1{12}(6x-1)(4x-1)\)

= \(\big(\frac{x}{2}-\frac1{12}\big)(4x-1).\)

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