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State the binomial theorem for a positiv...

State the binomial theorem for a positive integral index.

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CHHAYA PUBLICATION-BINOMIAL THEOREM -EXERCISE (Very short answer Type Questions )
  1. State the binomial theorem for a positive integral index.

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  2. If n is a positive integer, show that, in the expansion of (1+x)^(n) t...

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  3. Write down the binominal expansion of , (a+2b)^(5)

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  4. Write down the binominal expansion of , (a-3/b)^(7)

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  5. Write down the binominal expansion of , (x/3 + 2/t)^(4)

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  6. Write down the dimension of entropy.

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  7. Write down the binominal expansion of , (x^(3)-3x^(2)y + 3xy^(2)-y...

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  8. Write down the binominal expansion of , (x^(2)-x-2)^(3)

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  9. Write down the binominal expansion of , (1-x+x^(2))^(4).

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  10. Simplify : (sqrt(3)+1)^(5)-(sqrt(3)-1)^(5)

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  11. Simplify : (2+sqrt(3))^(6) + (2-sqrt(3))^(6)

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  12. Simplify : (x+y)^(4) - 4y(x+y)^(3) + 6y^(2)(x+y)^(2)-4y^(3)(x+y)+y^(...

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  13. Simplify : (a-3)^(3) + 6(a-3)^(2)+12(a-3)+8

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  14. Simplify : (x+sqrt(x^(2)-1))^(7) + (x-sqrt(x^(2)-1))^(7)

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  15. Expand (3x-5/(x^3))^(8) up to the term independent of x.

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  16. Determine: 10th term in the expansion of (3a+2/a)^(12)

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  17. Determine: 4th term in the expansion of (a/b-b/a)^(10)

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  18. Determine: nth term in the expansion of (x+1/x)^(2n)

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  19. Determine: the general term in the expansion of (a-1/(3a))^(m)

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  20. 5th term from the end in the expansion of ((x^3/2)-(2/x^2))^12 is

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