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Expand using Binomial Theorem (1+ x/2 - ...

Expand using Binomial Theorem `(1+ x/2 - 2/x)^4` , x!= 0.

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The correct Answer is:
`(x^(4))/16+(x^(3))/2+(x^(2))/2-4x-5+16/x+8/(x^(2))-32/(x^(3))+16/(x^(4))`
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KUMAR PRAKASHAN-BINOMIAL THEOREM -PRACTICE WORK
  1. Expand the following expressions : (ax-b/x)^(6)

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  2. Expand the following expressions : (1-x+x^(2))^(4)

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  3. Expand using Binomial Theorem (1+ x/2 - 2/x)^4 , x!= 0.

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  4. Expand the following expressions : (1-2x+x^(2))^(3)

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  5. Expand the following expressions : (1-2x+x^(2))^(3)

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  6. Find the number of terms in the expansion of the following : (x+y/x)...

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  7. Find the number of terms in the expansion of the following : (x^(2)+1...

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  8. Find the number of terms in the expansion of the following : (x+2a)^(...

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  9. Find the number of terms in the expansion of the following : (2x+1/y)...

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  10. Find the number of terms in the expansion of the following : (z+3y)^(...

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  11. Find the number of terms in the expansion of the following : (2a+5b)^...

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  12. Using binomial theorem , Evaluate the following : (0.99)^(5)

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  13. Using binomial theorem ,Evaluate each of the following (101)^(4)

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  14. Using binomial theorem , Evaluate the following : (98)^(5)

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  15. Find (x+y)^(5)+(x-y)^(5) . Hence evaluate (sqrt(2)+1)^(5)+(sqrt(2)-1)^...

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  16. Using binomial theorem , Prove that 2^(3n)-7n-1 is divisible by 49.

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  17. Using binomial theorem ,Prove that 3^(3n)-26n -1 is divisible by 676.

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  18. Using binomial theorem , Prove that a^(n)-b^(n) is divisible by (a-b)

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  19. Prove that , (101)^(50) gt 100^(50)+99^(50)

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  20. Evaluate : (1.01)^(10)+(1-0.01)^(10)

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