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The term independent of x (x gt 0 , x ne...

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

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The correct Answer is:
210
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Knowledge Check

  • 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 - sqrt x )) ] ^(10) is

    A
    ` 105 `
    B
    `210`
    C
    315
    D
    420

  • The term independent of 'x' in the expansion of (x^(2) + (1)/(x))^(12) is

    A
    505
    B
    500
    C
    495
    D
    490

  • The term independent of x in (x-1//x^2)^(3n) is

    A
    `((-1)^n(3n)!)/(n!(2n)!)`
    B
    `((-1)^n(3n!)!)/(n!)`
    C
    `((-1)^n(2n)!)/(3n!)`
    D
    none

    • Similar Questions

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    the term independent of x in (x+1//x)^6 is

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