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

Find the coefficient of a^(5) b^(5)c^(5)d^(6) in the expansion of the following expression. (bcd + acd + abd+ abc)^(7)

Find the coefficient of x^(-7)" in "((2x^(2))/(3)-(5)/(4x^(5)))^(7)

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

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Find the coefficient of a^3b^4c^5 in the expansion of (b c+c a+a b)^6dot

If the coefficient of x^7in[a x^2-(1/(b x^2))]^(11) equal the coefficient of x^(-7) in satisfy the [a x-(1/(b x^2))]^(11),then a a n d b satisfy the relation a+b=1 b. a-b=1 c. b=1 d. a/b=1

If the coefficient of x^7in[a x^2-(1/(b x^2))]^(11) equal the coefficient of x^(-7) in satisfy the [a x-(1/(b x^2))]^(11), then a and b satisfy the relation a. a+b=1 b. a-b=1 c. ab=1 d. a/b=1

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

NAGEEN PRAKASHAN ENGLISH-BINOMIAL THEOREM-Exercise 8C
  1. Find the term independent of x (constant term) in the following expans...

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

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

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

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

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  6. Prove that he coefficient of x^n in the expansion of (1+x)^(2n) is twi...

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

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

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  9. If the coefficient of x^(7)in [ax^(2) + (1/bx)]^(11) equals the coeffi...

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  10. about to only mathematics

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

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  12. about to only mathematics

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

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

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  15. Find the term independent of x in ((3x^(2))/(2)-(1)/(3x))^(9)

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  16. Prove that the term independent of x in the expansin of (x+1/x)^(2n)i ...

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

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

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

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  20. The coefficient of x^(n) in the expansion of (1 + x)^(2n) " and " (1 +...

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