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2x^2-5/6x+1/12...

`2x^2-5/6x+1/12`

Text Solution

Verified by Experts

We have
`2x^2-(5)/(5)x+(1)/(12)=((24x^2-10x+1))/(12)`
`=(1)/(12)(24x^2-10x+1)`
`=(1)/(12)(24x^2-6x-4x+1)`
`=(1)/(12)[(6x(4x-1)-(4x-1)]`.
`=(1)/(12) (4x-1)(6x-1)`
`=((4x)/(12)-(1)/(12))(6x-1)=((1)/(3)x-(1)/(12)) (6x-1)`.
Hence, `(2x^2-(5)/(6)x+(1)/(12))=((1)/(3)x-(1)/(12))(6x-1)`.
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