Home
Class 12
MATHS
The coefficient of x^9 in the expansion ...

The coefficient of `x^9` in the expansion of `(1+x)(16 x^2)(1+x^3)(1+x^(100))` is

Text Solution

Verified by Experts

`x^(9)` can be formed in following eight ways.
i.e, `x^(9), x^(1+8), x^(2+7), x^(3+6), x^(4+5), x^(1+2+6), x^(1+3+5), x^(2+3+4)`
and coefficient in each case is 1.
`:.` Coefficient of `x^(9) = 1+1+1+"……" 8` times
`= 8`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|4 Videos

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise Comprehension|11 Videos

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise Numerical|25 Videos

  • AREA

    CENGAGE PUBLICATION|Exercise Comprehension Type|2 Videos

  • CIRCLE

    CENGAGE PUBLICATION|Exercise For problems 3 and 4|2 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^9 in the expansion of (1+x)(1+x^2)(1+x^3)....(1+x^100) is

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

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

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+x^2+x^3)^11 is

Coefficient of x^n in the expansion of (1+x)^(2n) is

The coefficient of x^(9) in the expansion of (1+x)(1+x^(2))(1+x^(3)).....(1+x^(100)) is -

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

The coefficient of x^17 in the expansion of(x-1)(x-2)(x-3)….(x-18) is

The coefficient of x^(-10) in the expansion of (x^2-1/x^3)^10 is