Find the numerically grates term in the expansion of `3-5x^(15)w h e nx=1//5.`

Explanation

We have `(3-5x)^(15)`
For `|(T_(r+1))/(T_(r))|=(15-r+1)/(r) |-(5x)/(3)|ge 1`
`rArr (16-r)/(r).(5xx1/5)/(3)ge1 "
"("Putting" x = 1//5)`
`rArr 16 - r ge 3r`
`rArr le 4`
Hence, `T_(4)` and `T_(5)` numerically the greatest terms,
`T_(4) = .^(15)C_(3)3^(15-3)(-5x)^(3)`
`= (-455 xx 3^(12) xx 5^(3))x^(3)`
and `T_(5) = .^(15)C_(4)3^(15-4)(-5x)^(4)`
`= (455 xx 3^(12) xx 5^(3))x^(4)`
Also , for numerical value,
`|T_(4)| = |T_(5)| = 455 xx 3^(12) 5^(3)`