`(2x^(4)-(1)/(3x^(7)))^(11)` के प्रसार में अचर पद ज्ञात कीजिए।

Explanation

`T_(r+1)=.^(11)C_(r)*(2x^(4))^(11-r)(-(1)/(3x^(7)))^(r)`
`=.^(11)C_(r)*2^(11-r)*x^(44-4r)*((-1)^(r))/(3^(r)*x^(7r))`
माना `44-11r=0`
`rArrr=4`
`therefore` अचर पद `=.^(11)C_(4)*(2^(11-4)(-1)^(4))/(3^(4))`
`=(lfloor11)/(lfloor4lfloor7)*(2^(7))/(3^(4))=(8xx9xx10xx11)/(1xx2xx3xx4)xx(128)/(81)`
`=(14080)/(27)`