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Find the coefficient of a^5b^7in(a-2b)^(...

Find the coefficient of `a^5b^7in(a-2b)^(12)`

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Find the coefficient of a^(5)b^(7) in (a-2b)^(12)

Find the coefficients of x^(7) in (ax^(2)+(1)/(bx))^(11) and x^(-7)in(ax-(1)/(bx^(2)))^(11) and find the relation between a and b so that coefficients are equal.

The coefficient of a^7b^8 in (a+2b+4ab)^(10)=k.2^(18) . Find k.

If the coefficient of x^7 in (x^2+1/(bx))^11 is equal to coefficient at x^-7 in (x+1/(bx^2))^11 Then find value of b

Find the coefficient of x^(7) in the expansion of (ax^(2) + (1)/(bx))^(11) . (ii) the coefficient of x^(-7) in the expansion of (ax + (1)/(bx^2))^(11) . Also , find the relation between a and b , so that these coefficients are equal .

Find the coefficient of (i) x^(5)" in the expansion of "(x+3)^(8) (ii) x^(6) " in the expansion of "(3x^(2) - a/(3x))^(9) (iii) x^(-15) " in the expansion of " (3x^(2) - a/(3x^(3)))^(10). (iv) a^(7)b^(5)" in the expansion of "(a-2b)^(12) .

If the sum of the coefficients in the expansion of (1-4x+7x^(2))^(n) is "a" and the sum of the coefficients of (1+x+2x^(2))^(n) is "b" ,then find relation between a and b

What are binomial coefficients in (a+b)^(7) ?

NAGEEN PRAKASHAN-BINOMIAL THEOREM-Exercise 8C
  1. Find the coefficient of x^(2).y^(7) in the expansion of (x+2y)^(9)

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  2. Prove that the ratio of the coefficient of x^10 in (1 - x^2)^10 & the ...

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  3. Prove that the greatest coefficient in the expansion of (1+x)^(2n) is...

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  4. Find a positive value of m for which the coefficient of x^2 in the ex...

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  5. The sum of the coefficients of x^(32) and x^(-17) in (x^4- 1/(x^3))^15...

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  6. If the coefficient of x^7 in (ax^2+1/(bx))^11 is equal to the coeffici...

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  7. Find the coefficient of x^9 in the expansion of (x^2-1/(3x))^9.

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  8. Find the coefficient of x^(10) in the expansion of (1-x^(2))^(10)

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  9. The coefficient of x^(-17) in the expansion of (x^4-1/x^3)^(15) is

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  10. Find the coefficient of x^(40) in the expansion of (1+2x+x^2)^(27)dot

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  11. If 'n' is a positive integer then prove that the coefficient fox^(m) i...

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  12. Find the term independent of x (constant term) in the following expans...

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  13. Prove that the term independent of x in the expansion of (x +1/x)^(2n)...

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  14. Find the coefficient of a^5b^7in(a-2b)^(12)

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  15. Find the coefficient of x^(2).y^(7) in the expansion of (x+2y)^(9)

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  16. Prove that the ratio of the coefficient of x^10 in (1 - x^2)^10 & the ...

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  17. prove that the coefficient of x^n in the expansion of (1+x)^(2n) is tw...

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  18. Find a positive value of m for which the coefficient of x^2 in the ex...

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  19. The sum of the coefficients of x^(32) and x^(-17) in (x^4- 1/(x^3))^15...

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  20. Find the coefficients of x^7 in (a x^2+1/(b x))^(11)a n dx^(-7)in(a x^...

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