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Find the coefficient of term independent...

Find the coefficient of term independent of x in the expansion of `((x+1)/(x^(2//3) -x^(1//3) +1) -(x-1)/(x-x^(1//2)))^(10)`

Text Solution

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The correct Answer is:
210
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Find the term independent of x in the expansion of (3/(2 x^2) - 1/(3^x))^6 .

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Knowledge Check

  • The term independent of x in the expansion of (x^2-(1)/(x))^6 is

    A
    `-12`
    B
    15
    C
    24
    D
    `-15`
  • The term independent of x in the expansion of (x^2 - 1/x)^6 is

    A
    `-12`
    B
    15
    C
    24
    D
    `-15`
  • The term independent of x in the expansion of (1+x+2x^3) (3x^2//2-1//3x)^9 is

    A
    `1//3`
    B
    `1//4`
    C
    `17//54`
    D
    `19//54`
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    The term independent of 'x' in the expansion of (x^(2) + (1)/(x))^(12) is

    The term independent of x (x gt 0 , x ne 1) in the expansion of [((x+1))/((x^(2//3) -x^(1//3)+1))-((x-1))/((x-sqrtx))]^10 is