In the expansion of x3−1x215, the constant term, is
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a
15C9
b
0
c
-15C9
d
1
answer is C.
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Detailed Solution
Let (r+1)th term be the constant term in the expansion of x3−1x215∴ Tr+1=15Crx315−r−1x2r is independent of x⇒Tr+1=15Crx45−5r(−1)r is independent of x ⇒45−5r=0⇒r=9 Thus, tenth term is independent of x and is given byT10=15C9(−1)9=−15C9