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Expand (2x-3y)^4 by binomial theorem....

Expand `(2x-3y)^4` by binomial theorem.

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To expand \((2x - 3y)^4\) using the Binomial Theorem, we follow these steps: ### Step 1: Identify the components for the Binomial Theorem The Binomial Theorem states that: \[ (a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k \] In our case, we can rewrite \((2x - 3y)^4\) as \((2x + (-3y))^4\). Here, \(a = 2x\), \(b = -3y\), and \(n = 4\). ...
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RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Find the number of terms in the expansions of the following: \ (2x+3y-...

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  2. Find the number of terms in the expansions of the following:\ (1+2x+x^...

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  3. Expand (2x-3y)^4 by binomial theorem.

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  4. Using binomial theorem expand (1+x/2-2/x)^4,\ x!=0.

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  5. Find the expansion of (3x^2-2a x+3a^2)^3 using binomial theorem.

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  6. Using binomial theorem, expand (x-1/x)^(6)dot

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  7. Find an approximation of (0. 99)^5 using the first three terms of its ...

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  8. Using binomial theorem compute : (99)^5

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  9. Using binomial theorem compute : (102)^6

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  10. Using binomial theorem compute : (10. 1)^5

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  11. Write down the binomial expansion of (1+x)^(n+1) , when x=8. Deduce th...

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  12. Using binomial theorem, prove that 6^n-5n always leaves he remainder 1...

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  13. Which is larger (1 0.1)^(100000)\ or 10,000?

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  14. If a\ a n d\ b are distinct integers, prove that a^n-b^n is divisible ...

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  15. Using binomial theorem, write down the expansion of (2x+3y)^5

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  16. Using binomial theorem, write down the expansions of the following: (1...

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  17. Using binomial theorem, write down the expansions of the following: ...

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  18. Using binomial theorem, write down the expansions of the following: ...

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  19. Using binomial theorem, write down the expansions of the following: (2...

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  20. Using binomial theorem, write down the expansions of the following: \ ...

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