Find the 7th term in the expansion of (...

Find the 7th term in the expansion of `((4x)/5-5/(2x))^9`.

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`T_7=T_(6+1)=9C_6((4x)/5)^(9-6)((-5)/(2x))^6`
`(9!)/((6!3!))*(4)^3/(5^3)*x^3*(-5)^6/2^6*1/x^6`
`(84*(5^3))/x^3`
`(84*125)/x^3`
`10500/x^3`.

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