NCERT Class XI Mathematics - Binomial Theorem - Solutions

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Question : 4
Total: 36
(
x
3
+
1
x
)
5
Solution:  
We have, (
x
3
+
1
x
)
5

=
5
C0(
x
3
)
5
+
5
X1(
x
3
)
4
(
1
x
)
+
5
C2(
x
3
)
3
(
1
x
)
2
+
5
C3(
x
3
)
2
(
1
x
)
3
+
5
C4(
x
3
)
(
1
x
)
4
+
5
C5(
1
x
)
5

=
x5
243
+
5x3
81
+
10x
7
+
10
9x
+
5
3x3
+
1
x5

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