Home
Class 12
MATHS
Find the coefficient of x^(20) in (x^2+2...

Find the coefficient of `x^(20)` in `(x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot`

Text Solution

Verified by Experts

Given expansion is
`E = ((x+(1)/(x))^(2))^(-5) (1+x^(2))^(40)`
`= ((x^(2) + 1)/(x))^(-10) (1+x^(2))^(40) = x^(10)(1+x^(2))^(30)`
Coefficient of `x^(20)` in E = Coefficient of `x^(10)` in `(1+x^(2))^(30)`
`= .^(30)C_(5)`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE|Exercise Exercise 8.1|17 Videos

  • BINOMIAL THEOREM

    CENGAGE|Exercise Exercise 8.2|10 Videos

  • AREA UNDER CURVES

    CENGAGE|Exercise Question Bank|20 Videos

  • BINOMIAL THEORM

    CENGAGE|Exercise Question Bank|31 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of x^(5) in (1+2x)^(6)(1-x)^(7)

Find the coefficient of x^(-2) in (1+x^(2)+x^(4)) (1-1/(x^(2)))^(18)

Find the coefficient of x^4 in (1 + x + x^2)^10

Find the coefficient of x^-1 in (1+3x^2+x^4)(1+ 1/x)^8

Find the coefficient of x^(5) in the expansion of (1+x^(2))^(5)*(1+x)^(4) is 60

Find the coefficient of x^-1 in (1+3 x^2+x^4) (1+1/x)^8

Find the coefficient of x^(2)in((a)/(a+x))^(1/2)+((a)/(a-x))^(1/2)

Find the coefficient of x^(5) in (1+2x+3x^(2).........

The coefficient of x^(2) in (1)/((1-2x)(1-3x)) is