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Published on: August 13, 2026
The coefficient of x 50 in (1 + x) 41 (l - x + x 2 ) 40 is
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Coefficient of x 50 in
(1 + x)(1 + x) 40 (1-x + x 2 ) 40
= (1+ x)((1 + x)(1-x + x 2 )) 40
= (1+ x)(1-x 3 ) 40
= (1 + x) (1- 40 C l x 3 + 40 C 2 x 6 +. ... + 40 C 16 x 48 - 40 C 17 x 51 +.... + 40 C 40 x 120 )
Coefficient of x 50 = 0
As there is no term containing x 50 and x 49 in the second bracket
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