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Find the coefficient of x^(7) in ((2+3x)...

Find the coefficient of `x^(7)` in `((2+3x)^(3))/((1-3x)^(4))`.

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The correct Answer is:
`8 (""^10C_3 . 3^7) + 36 (""^9C_3 . 3^6)+ 54(""^8C_3 . 3^5) + 27 (""^7C_3 . 3^4)`
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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - 3.3 (LONG ANSWER QUESTIONS)
  1. Find the coefficient of x^(5) in ((1-3x)^(2))/((3-x)^(3//2)).

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  2. Find the coefficient of x^(8) in ((1+x)^(2))/((1-(2)/(3)x)^(3)).

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  3. Find the coefficient of x^(7) in ((2+3x)^(3))/((1-3x)^(4)).

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  4. Find the coefficient of x^3 in ((1 - 5x)^3 (1+ 3x^2)^(3//2))/((3 +4x)^...

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  5. If |x| is so small that x^2 and higher powers of x may be neglected sh...

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  6. If |x| is so small that x^2 and higher powers of x may be neglected sh...

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  7. If |x| is so small that x^2 and higher powers of x may be neglected sh...

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  8. If |x| is so small that x^2 and higher powers of x may be neglected sh...

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  9. If |x| is so small that x^2 and higher powers of x may be neglected sh...

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  10. BY neglecting x^4 and higher powers of x show that root(3)(x^2 + 64) -...

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  11. Suppose p, q are positive and p is very small when compared to q. The...

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  12. Suppose s and t are positive and t is very small when compared to s. T...

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  13. Find the value of the sqrt199 correct to 4 decimal places

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  14. Find the value of the root(5)(242) correct to 4 decimal places

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  15. Find an approximate value of the following corrected to 4 decimal pla...

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  16. Find the value of the (1)/(root(3)(999) ) correct to 4 decimal places

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  17. Find an approximate value of the following corrected to 4 decimal pla...

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  18. Expand 3sqrt3 in increasing power of 2/3

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  19. Expand 5sqrt5 in increasing power of 4/5

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  20. Show that 1 + 1/3 + (1.3)/(3.6) + (1.3.5)/(3.6.9) + ….. = sqrt3

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