44) The number of middle terms in the expansion of (2x -1/4x)^9
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Answer:
Given expansion term is (2x−
4
x
2
)
9
n=9= odd
middle term =(
2
9+1
)
th
+(
2
9+3
)
th
=5
th
or 6
th
term
T
5
=T
4+1
=
9
C
4
(2x)
5
(
4
−x
2
)
4
=
4!5!
9!
2
5
×x
5
(−1)
4
×
4
4
x
8
=
4×3×2×5!
9×8×7×6×5!
×
2
5
2
5
.x
13
.1
T
5
=
4
63
x
13
T
6
=T
5+1
=
9
C
5
(2x)
4
(
4
−x
2
)
5
=
4!5!
9!
×2
4
x
4
(−1)
5
4
5
x
10
=
4×3×2×5!
9×8×7×6×5!
2
4
2
10
x
14
T
6
=
32
−63
x
14
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