First slide

Binomial theorem for positive integral Index

Question

$T h e s u m o f t h e c o e f f i c i e n t s o f o d d p o w e r s o f x i n t h e e x p a n s i o n o f$ ${(1 + x - x^{2} - x^{3})}^{6}$

Very Easy

A

0
B

32
C

64
D

-1

Solution

$S u m o f t h e c o e f f i c i e n t s o f o d d p o w e r s o f x i n f (x) i s$ $\frac{f(1)-f(-1)}{2} = \frac{{(1 + 1 - 1 - 1)}^{6} - {(1 - 1 - 1 + 1)}^{6}}{2} = 0$

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