Home
Class 12
MATHS
Find the coefficient of x^(10) in the ex...

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

Text Solution

Verified by Experts

The correct Answer is:
`21 xx 2^10`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|25 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - I|27 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 3.3 (VERY SHORT ANSWER QUESTIONS)|22 Videos

  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of x^(10) in the expansion of (1+x^(2)-x^(3))^(8)

Find the coefficient of x^(6) in the expansion of (1-3x)^((-2)/(5))

Knowledge Check

  • If |x| lt (1)/(2) , then the coefficient of x' in the expansion of (1+2x)/((1-2x)^2) is

    A
    `r. 2^r`
    B
    `(2r-1) 2^r`
    C
    `r. 2^(2r+1)`
    D
    `(2r+1) 2^r`

  • The coefficient of x ^(3) in the expansion of (1-2x)/((2x +1)(2-x)) is

    A
    `- (509)/(80)`
    B
    `(509)/(80)`
    C
    `-(103)/(16)`
    D
    `(103)/(16)`

  • Coefficient of x^(10) in the expansion of (2+3x)e^(-x) is

    A
    `(-26)/((10)!)`
    B
    `(-28)/((10)!)`
    C
    `(-30)/((10)!)`
    D
    `(-32)/((10)!)`

    • Similar Questions

    Explore conceptually related problems

    (ii) Find the coefficient of x^(n) in the expansion of (x)/((x-1)^(2)(x-2)) in which the expansion is valid.

    Find the coefficient of x^(n) in the expansion of (x)/((2x+1)(x-2)) in powers of x specifying the interval in which the expansion is valid.

    Find the coefficient of x^6 in the expansion of (1+ x^2 - x^3)^8

    The coefficient of x^(2) in the expansion of e^(2x+3) is

    If |x| lt 1/2 , the the coefficient of x^r in the expansion of (1+2x)/((1 -2x)^2) is

    Home
    Profile