Test Index

NCERT Class XI Mathematics - Binomial Theorem - Solutions

© examsnet.com
Question : 2
Total: 36
(
2
x
−
x
2
)5
Solution:  
We have, (
2
x
−
x
2
)5 = [
2
x
+(−
x
2
)]5
=
5
‌
C0[
2
x
]5 +
5
‌
C1[
2
x
]4[
−x
2
] +
5
‌
C2[
2
x
]3[
−x
2
]2 +
5
‌
C3[
2
x
]2[
−x
2
]3 +
5
‌
C4[
2
x
][
−x
2
]4 +
5
‌
C5[
−x
2
]5
= 1 [
32
x5
]+5(
8
x3
)(−1) + 10 [
2
x
] + 10 [
−x
2
]+5[
x3
8
]+[
−x5
32
]
=
31
x5
−
40
x3
+
20
x
 - 5x +
5x3
8
−
x5
32
© examsnet.com
Go to Question:
Prev Question
Next Question