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

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To verify the 5th term of the binomial expansion of (3-2/x)^9, the general term formula is applied: T(r+1) = n!/(n-r)!r! * A^(n-r) * B^r. For this case, r is set to 4, A is 3, B is -2/x, and n is 9. The calculated term results in -489888/x^4. To check the answer, one should ensure the correct application of the formula and confirm the sign of each component in the expansion.
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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