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The coefficient of x^6 in the expansion ...

The coefficient of `x^6` in the expansion of `(3 x^(2) - (1)/(3x) )^9` is

A

576

B

756

C

189

D

378

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The correct Answer is:
D
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CENGAGE-BINOMIAL THEOREM-TEST YOURSELF (Multiple Choice Questions)
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  2. The 13^(th) term in the expansion of (9x - (1)/( 3 sqrtx) )^(18), x ne...

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  3. The 3^(rd) term from the end in the expansion of ( x + (1)/(x) )^6 is

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  4. The 4^(th) term from the end in the expansion of ( sqrt(x) - sqrt(y) )...

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  5. The middle term in the expansion of ( x - (1)/(2y) )^(10) is

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  6. The middle term in the expansion of ( x^(2) - (2)/(x) )^(10) is

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

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  8. The coefficient of x^6 in the expansion of (3 x^(2) - (1)/(3x) )^9 is

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  9. The term independent of x in the expansion of ( sqrt(x) + (1)/(3x^2) )...

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  10. The term independent of x in the expansion of ( x - (1)/(x) )^(12) is

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  11. The coefficient of x^(32) in the expansion of (x^(4) - (1)/(x^3) )^(15...

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  12. The term independent of x in the expansion of ((3)/(2) x^(2) - (1)/(3x...

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  13. Which term contains x^3 in the expansion of (3x - (1)/(2x) )^8 ?

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  14. The coefficient of x^(-4) in the expansion of ((4x)/(5) + (5)/(2x) )^8...

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  15. The total number of terms in the expansion of (x + k)^(100) + (x - k)^...

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  16. If the coefficients of the second, third and fourth terms in the expan...

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  17. If p and q are positive integers, then the coefficients of x^(p) and x...

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  18. Let the coefficient of x^(n) in the expansion of (1+x)^(2n) be P and t...

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  19. In the expansion of (1+x)^(n), the binomial coefficient of three conse...

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  20. If the coefficients of x^(7) and x^(8) are equal in the expansion of (...

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