Home
Class 12
MATHS
The coefficient of x^(n) in the expansi...

The coefficient of `x^(n)` in the expansion of `(1+x)(1-x)^(n)` is

A

`n-1`

B

`(-1)^(n)(1+n)`

C

`(-1)^(n-1)(n-1)^(2)`

D

`(-1)^(n-1)n`.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise MCQ.s (LEVEL-II)|55 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise LATEST QUESTION FROM AIEEE/JEE EXAMINATIONS|6 Videos

  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^(k) in the expansion of 1+(1+x)+(1+x)^(2)+ . . .+(1+x)^n is

The coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(n) is:

The coefficients of x^(n) in the expansion of (1+x)^(2n) and (1+x)^(2n-1) are in the ratio

The coefficient of x^(4) in the expansion of : (1+x+x^(2)+x^(3))^(n) is:

The coefficient of x^(6) in the expansion of (1+x+x^(2))^(-3) is

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

The coefficient of x^(5) in the expansion of (1+x)^(21)+(1+x)^(22)+.. .+(1+x)^(30) is

The coefficient of x^(5) in the expansion of (1+x^(2))^(5).(1+x)^(4) is

The coefficient of x^(7) in the expansion of (1-x-x^(2)+x^(3))^(6) is:

If A and B are coefficients of x^(n) in the expansion of (1+x)^(2n) and (1+x)^(2n-1) respectively, then A/B equals: