Mathematics(10-212) =a+b3 , then a-b3 is? 

(10-212) =a+b3 , then a-b3 is? 

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    Solution:

    given that,

    (10-212) =a+b3

    squarring both sides,

    10-212 =(a )2+(b3 )2+2(a . b3)

    =a+3b2+2b3a 

    Comparing,

    10=a+3b               -------(1)

    -22=2b3a

    ba=-2

    or

    ab2=-2           -------(2)

    now,if b-1

    a2 =7 a=7    -2

    let b=2


    10=a+3(2)2   

     a= -2  it satisfies equation (2) also

    so,a-b13 =(-4)13

    ≈ 1 or -1

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