How to Verify the 5th Term of the Binomial Expansion of (3-2/x)^9?

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SUMMARY

The discussion focuses on verifying the 5th term of the binomial expansion of the expression (3 - 2/x)^9. The user applied the binomial expansion formula, specifically using the general term T(r+1) = N!/(N-r)!r! * A^(N-r) * B^r, where N=9, A=3, B=-2/x, and r=4. The calculated 5th term is -489888/x^4. The user seeks clarification on how to confirm the correctness of their answer, particularly regarding the negative sign discrepancy.

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donniemateno
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hi there I am abit stuck here. i got a q saying :
in binomial expansion of (3-2/x)^9 find the 5th term using the general term of the binomial expansion and check your answer

(3-2/x)^9

used formula

=N!/(n-r)!r! * A^(n-r) * b ^ r

r= 4
a= 3
b= - 2/x
n=9

got a answer of -489888/x^4

How do i go about checking my answer??
 
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My answer is like yours, but without the negative sign.
 

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