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Using binomial theorem, expand each of t...

Using binomial theorem, expand each of the following:`(2x-3y)^(4)`

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The correct Answer is:
`16x^(4)-96x^(3)y + 216x^(2)y^(2)-216xy^(3)+81y^(4)`
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RS AGGARWAL-BINOMIAL THEOREM-EXERCISE 10A
  1. Using binomial theorem, expand each of the following: (2x-3)^(6)

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  2. Using binomial theorem, expand each of the following:(3x+2y)^(5)

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  3. Using binomial theorem, expand each of the following:(2x-3y)^(4)

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  4. Using binomial theorem, expand each of the following:((2x)/3-3/(2x))^(...

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  5. Using binomial theorem, expand each of the following:(x^(2)-2/x)^(7)

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  6. Using binomial theorem, expand each of the following:(x-1/y)^(5)

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  7. Using binomial theorem, expand each of the following:(sqrt(x)+sqrt(y))...

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  8. Using binomial theorem, expand each of the following:(root(3)(x)-root(...

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  9. Using binomial theorem, expand each of the following:(1+2x-3x^(2))^(4)

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  10. Using binomial theorem, expand each of the following:(1+x/2-2/x)^(4),x...

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  11. Using binomial theorem, expand each of the following: (3x^(2)-2ax+3a^(...

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  12. Evalute: (sqrt(2)+1)^(6) + ( sqrt(2) - 1)^(6)

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  13. Evalute: (sqrt(3)+1)^(5) -(sqrt(3)-1)^(5)

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  14. Evalute: (2+sqrt(3))^(7)+(2-sqrt(3))^(7)

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  15. Evalute: (sqrt(3)+sqrt(2))^(6)- (sqrt(3)-sqrt(2))^(6)

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  16. Prove that sum(n)^(r=0) ""^(n)C(r)*3^(r)=4^(n).

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  17. Using binomial theorem, evaluate each of the following: (i)(104)^(4...

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  18. Using binomial theorem, prove that (2^(3n)-7n-1) is divisible by 49, w...

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  19. Prove that (2+sqrt(x))^(4)+(2-sqrt(x))^(4)= 2(16+24x+x^(2)).

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  20. Find the 7th term in the expansion of ((4x)/5+5/(2x))^(8)

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