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NCERT Class XI Mathematics - Binomial Theorem - Solutions

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Question : 5
Total: 36
(x+
1
x
)6
Solution:  
We have, (x+
1
x
)6
=
6
‌
C0(x)6+
6
‌
C1(x)5(
1
x
)+
6
‌
C2(x)4(
1
x
)2+
6
‌
C3(x)3(
1
x
)3+
6
‌
C4(x)2(
1
x
)4+
6
‌
C5(x)(
1
x
)5+
6
‌
C6(
1
x
)6

= x6+6x4+15x2 + 20 + 15 (
1
x2
)+6(
1
x4
)+
1
x6
= x6+6x4+15x2 + 20 +
15
x2
+
6
x4
+
1
x6
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