Home
Class 12
MATHS
Find the coefficient of x^(13) in the ex...

Find the coefficient of `x^(13)` in the expansion of `(1-x)^5xx(1+x+x^2+x^2)^4dot`

Text Solution

Verified by Experts

`E = (1-x)^(5)(1-+x)^(4) (1+x^(2))^(4)`
`= (1-x)(1-x^(2))^(4)(1+x^(2))^(4)`
` = (1-x)(1-x^(4))^(4)`
` = (1-x)[1-4(x^(4))+6(x^(4))^(2) - 4(x^(4))^(3)+(x^(4))^(4)]`
Coefficient of `x^(13)` is `(-1)(-4) = 4`
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^(10) in the expansion of (1-x^(2))^(10)

Find the coefficient of x^(13) in the expansion of (1-x)^(5)xx(1+x+x^(2)+x^(2))^(4)

Find the coefficients of x^4 in the expansion of (1+x+x^2)^3

The coefficient of x^(4) in the expansion of (1-x)^(-2) is

The coefficient of x^(r) in the expansion of (1-x)^(-2) is

Find the coefficient of x^(n) in the expansion of (1+x)(1+x)^(n).

The coefficient of x^(3) in the expansion of (1-x+x^(2))^(5) is

Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^6

Find the coefficient of x-2 in the expansion of (x-(1)/(x))^(12)