NCERT Class XI Mathematics - Binomial Theorem - Solutions
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Question : 1
Total: 36
Solution:
We have , ( 1 − 2 x ) 5 = [ 1 + ( − 2 x ) ] 5
=
C 0 +
C 1 ( − 2 x ) +
C 2 ( − 2 x ) 2 +
C 3 ( 2 x ) 3 +
C 4 ( − 2 x ) 4 +
C 5 ( − 2 x ) 5
= 1 + 5 (- 2x) + 10( 4 x 2 ) + 10 ( − 8 x 3 ) + 5 ( 16 x 4 ) + ( − 32 x 5 )
= 1 - 10x +40 x 2 − 80 x 3 + 80 x 4 − 32 x 5
=
= 1 + 5 (- 2x) + 10
= 1 - 10x +
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