Home
Class 12
MATHS
Prove that the coefficient of x^3 in the...

Prove that the coefficient of `x^3` in the expansion of `(1+x+2x^2) (2x^2 - 1/(3x))^9` is `-224/27.`

Text Solution

Verified by Experts

The correct Answer is:
`-(224)/(27)`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-H) Objective type question (Multiple True-False Type Questions)|2 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the coefficient of x^3 in the expansion of (1+x+2x^2)(2x^2-frac{1}{3x})^9

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

The coefficient of x^(4) in the expansion of (1-x-2x^(2))^(8) is

Find the coefficient of x in the expansion of (2x-(3)/(x))^(9)

The coefficient of x^(4) in the expansion of (1+x-2x^(2))^(7) is :