What is the middle term in the expansion of (xy3−3yx)12 ?
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a
C(12,7)x−3y3
b
C(12,6)x3y−3
c
C(12,7)x3y−3
d
C(12,6)x−3y3
answer is B.
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Detailed Solution
Given expansion (xy3−3yx)12 is We have general term in the expansion (x+a)n (∴ Tr+1= nCr xn−r (a)r be the expansion of (x+a)n) Here, index be the n=12 middle term is (122+1)th i.e. 7th term.∴ Required middle term =T7 Tr+1= nCr xn−r (a)r T7=T6+1= 12C6(xy3)6(−3yx)6 .T7=T6+1= 12C6x6y3x3y6= 12C6x3y−3 T7=T6+1= 12C6x3y−3