NCERT Class XI Mathematics - Binomial Theorem - Solutions

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Question : 21
Total: 36
(3−
x3
6
)
7
Solution:  
As the exponent 7 is odd, so there will be two middle terms in the expansion [3−
x3
6
]
7

i.e., (
7+1
2
)
th term and (
7+1
2
+1
)
th term i.e., 4th term & 5th term
∴ T4 = T3+1 =
7
‌
C3(3)7−3(−
x3
6
)
3
= 35
(3)4
(6)3
= 35
(3)4
(6)3
(−x3)3
= 35 (
3
8
)
(−x9)
= -
105
8
x9
and T5 = T4+1 =
7
‌
C4(3)7−4(−
x3
6
)
4
= 35
(3)3
(6)4
(−x3)4
=
35
48
x12

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