NCERT Class XI Mathematics - Binomial Theorem - Solutions
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Question : 21
Total: 36
Solution:
As the exponent 7 is odd, so there will be two middle terms in the expansion [ 3 −
] 7
i.e.,(
) th term and (
+ 1 ) th term i.e., 4th term & 5th term
∴T 4 = T 3 + 1 =
C 3 ( 3 ) 7 − 3 ( −
) 3 = 35
= 35
( − x 3 ) 3 = 35 (
) ( − x 9 ) = -
x 9 and T 5 = T 4 + 1 =
C 4 ( 3 ) 7 − 4 ( −
) 4 = 35
( − x 3 ) 4 =
x 12
i.e.,
∴
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