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Find the coefficient of x^7 in the expan...

Find the coefficient of `x^7` in the expansion of `(1 - x -x^2 + x^3)^(6)dot`

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. If x^p occurs in the expansion of (x^2+1//x)^(2n) , prove that its coe...

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

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  3. Find the coefficient of x^7 in the expansion of (1 - x -x^2 + x^3)^(6)...

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  4. If the number of terms in the expansion of (x+y+z)^n are 36, then find...

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  5. Find the coefficient of a^3b^4c in the expansion of (1+a+b-c)^9dot

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  6. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

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  7. Find the number of terms which are free from radical signs in the e...

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  8. Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.

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  9. Find the coefficient of x^(13) in the expansion of (1-x)^5xx(1+x+x^2+x...

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  10. Find the sum .^(10)C1+^(10)C3+^(10)C5+^(10)C7+^(10)C9

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  11. Find the sum of 1/(1!(n-1)!)+1/(3!(n-3)!)+1/(5!(n-5)!)+ ...,

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  12. If n is an even positive integer, then find the value of x if the gr...

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  13. If |x|<1, then find the coefficient of x^n in the expansion of (1+2x+3...

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  14. If (r+1)t h term is the first negative term in the expansion of (1+x)^...

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  15. If |x|<1, then find the coefficient of x^n in the expansion of (1+x+x^...

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  16. If |x|>1, then expand (1+x)^(-2)dot

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  17. Find the cube root of 217, correct to two decimal places.

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  18. Find the coefficient of x^2 in (a/(a+x))^(1//2)+(a/(a-x))^(1//2)

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  19. Prove that ^10 C1(x-1)^2-^(10)C2(x-2)^2+^(10)C3(x-3)^2+-^(10)C(10)(x-1...

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  20. If the third term in the expansion of (1+x)^mi s-1/8x^2, then find the...

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