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Expand the following (a-7c/3)^4...

Expand the following `(a-7c/3)^4`

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`(a-(7c)/3)^4` = `a^4 + "^4C_1 a^(4-1) ((-7c)/3)^1 + ^4C_2 a^(4-2) ((-7c)/3)^2 + ... +((-7c)/3)^4`
= `a^4-4a^3xx(7c)/3 + 6a^2xx49c^2/9 + ... + (7^4c^4)/81`
= a^4- 28/3a^3c + 98/3a^2c^2+ ... +(7^4c^4)/81`
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MBD PUBLICATION-Elements of Mathematics-QUESTION BANK
  1. Expand the following (7a+3b)^6

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  2. Expand the following (-9a/2+b)^7

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  3. Expand the following (a-7c/3)^4

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  4. Apply Binomial Theorem to find the value of (1.01)^5

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  5. State true or false. The number of terms in expansion of (x^2-2+1/x^2)...

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  6. State true or false. There is a term independent of both x and y in th...

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  7. State true or false. The highest power in the expansion of x^40(x^2+1/...

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  8. State true or false. The product of K consecutive natural numbers is d...

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  9. Answer the following: If 6th term in the expansion of (x+*)^n is equal...

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  10. Find the number of terms in the expansion of (1+x)^n(1-x)^n.

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  11. Find the value of "^nC(r-1)//"^nCr

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  12. How many terms in the expansion of (3/a+a/3)^10 have positive powers o...

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  13. Find the middle term in the expansion of the (a/b+b/a)^6.

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  14. Find the middle term in the expansion of the (x+1/x)^9

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  15. Find the middle term in the expansion of the (x^(3/2)-y^(3/2))^8

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  16. Find the 6th term in the expansion of (x^2+a^4/y^2)^10.

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  17. Find the fifth term in the expansion of (6x-a^3/x)^10

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  18. Find the coefficient of 1/y^10 in the expansion of (y^3+a^7/y^5)^10

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  19. In the expansion of (y^3+a^7/y^5)^10, Does there exist a term indepen...

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  20. Find the coefficient of x^4 in the expansion of (1+3x+10x^2)(x+1/x)^10

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