First slide

Binomial theorem for positive integral Index

Question

$I f p a n d q a r e p o s i t i v e r e a l n u m b e r s, t h e n t h e c o e f f i c i e n t s o f x^{p} a n d x^{q} i n t h e e x p a n s i o n o f {(1 + x)}^{p - q} w i l l b e$

Moderate

A

$E q u a l$
B

$E q u a l i n m a g n i t u d e a n d o p p o s i t e i n s i g n$
C

$R e c i p r o c a l s t o e a c h o t h e r$
D

$o n e i s s q u a r e o f t h e o t h e r$

Solution

$T h e c o e f f i c i e n t o f x^{p} i n {(1 + x)}^{p + q} i s C (p + q, p) a n d t h e c o e f f i c i e n t o f x^{q} i n t h e e x p a n s i o n o f {(1 + x)}^{p + q} i s C (p + q, q) B o t h c o e f f i c e n t s a r e e q u a l t o \frac{(p + q)!}{p! q!}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App