Subject

    গাণিতিক যুক্তি

    Topic

    উৎপাদক

    a3- 6a2+ 12a - 9 এর উৎপাদক-

    ক)
    (a+3) (a2- 3a +3)
    খ)
    (a-3) (a2- 3a +3)
    গ)
    (a-4) (a2- 5a +2)
    ঘ)
    (a-2) (a2- a +3)

    Explanation

    a 3 - 6a 2 + 12a - 9 = a 3 - 6a 2 + 12a - 8-1 = a 3 - 3.a 2 .2 + 3.a.2 2 - 2 3 -1 = (a-2) 3 -1 = (a-2) 3 -1 3 = (a-2-1) {(a-2) 2 +(a-2)1 + 1 2 } = (a-3) (a 2 -2a.2+4+a-2+1) = (a-3) (a 2 -4a+4+a -1) =  (a-3) (a 2 - 3a +3)

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