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Find the coefficient of x^(4) in the exp...

Find the coefficient of `x^(4)` in the expansion of `(2x^(2)+(3)/(x^(3)))^(7)`

A

`""^(7)C_(2)2^(5)3^(3)`

B

`""^(7)C_(2)2^(5)3^(2)`

C

`""^(7)C_(2)3^(5)2^(2)`

D

`""^(7)C_(2)2^(5)3^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
To find the coefficient of `x^(k)` in the expansion of `(ax^(p)+(b)/(x^(q)))^(n)` use the formula `r=(np-k)/(p+q)`
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PEARSON IIT JEE FOUNDATION-MATHEMATICAL INDUCTION AND BIONOMIAL THEOREM-LEVEL 1
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  3. If the sum of the coefficients in the exapansion (4ax-1-3a^(2)x^(2))^(...

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  4. Find the coefficient of x^(4) in the expansion of (2x^(2)+(3)/(x^(3)))...

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  5. n^(2)-n+1 is an odd number for all

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  6. Statement-1: For each natural number n, (n + 1)^7- n^7 - 1 is divisibl...

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  9. In the 10th term of (x+y)^(n), the exponent of x is 3, then the expone...

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  10. If the coefficients of the 6th and 5th terms of expansion (1+x)^(n) ar...

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  11. The third term from the end in the expansion of (3x-2y)^(15) is

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  12. Find the sixth term in the exapnasion of (2x^(3)-(3)/(7x^(2)))^(11)

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  13. The term independent of x in the exapansion of (x^(3)-(1)/(x^(2)))^(10...

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  14. Which term is the constant term in the exapansion of (2x-(1)/(3x))^(6)

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  16. The number of terms which are not radicals in the exapansion (sqrt(7)+...

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  18. In the expansion of (X+Y)^(n), the coefficients of the 17th and the 13...

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  19. The number of terms in the expansion of [(2x+3y)^(4)(4x-6y)^(4)]^(9) i...

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