Binomial TheoremHard
Question
The coefficient of x4 in
, | x | < 1, is
Options
A.4
B.-4
C.10 + 4C2
D.16
Solution
(1 + x)2 (1 - x)-2
= (1 + x2 + 2x) (1 - x)-2
Co-efficient of x4 = 5C4 + 3C2 + 2 4C3 = 16
= (1 + x2 + 2x) (1 - x)-2
Co-efficient of x4 = 5C4 + 3C2 + 2 4C3 = 16
Create a free account to view solution
View Solution FreeMore Binomial Theorem Questions
If C0, C1, C2.......Cn are binomial coefficients in the expansion of (1 + x)n, n ∈ N, then is equal to-...If = 0 for p < q, where p, q ∈ W, then =...The 5th term from the end in the expansion of is -...The greatest integer less than or equal to (√2 + 1)6 is...The greatest integer less than or equal to (√2 + 1)6 is -...