NCERT Class XI Mathematics - Binomial Theorem - Solutions

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

= 1 + 5 (- 2x) + 10 (4x2) + 10 (−8x3)+5(16x4)+(−32x5)
= 1 - 10x + 40x2−80x3+80x4−32x5
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