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If ((a+b)^n - (2^n - 3^n)) is divisible by ab, then find (a-b)^2...pls help with atleast one step..it will do..thanks..

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2 months ago

```							using binomial theorem we get(a+b)^n= a^n + b^n + ab*k (where k is an integer assuming a and b are integers, we have simply taken ab common from remaining terms)now i think it should be (a+b)^n - (2^n + 3^n) bcoz then we can write it as a^n + b^n + ab*k – (2^n + 3^n) = (a^n – 2^n) + (b^n – 3^n) + abk or (b^n – 2^n) + (a^n – 3^n) + abk.now if (a,b)= (2, 3) or (3, 2) then clearly the term is divisible by ab. in both cases (a – b)^2= 1.so just check the ques once again and let me know if you r still facing any issue...KINDLY APPROVE :))
```
2 months ago
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