logo

Ask Questions, Get Answers

X
 

The total no. of terms in the expansion $(x+y)^{100}+(x-y)^{100} $ is ?

$\begin{array}{1 1} 50 \\ 51 \\ 101 \\ 202 \end{array}$

2 Answers

Toolbox:
  • The expansion of $(x+y)^n$ has $n+1$ terms
$(x+y)^{100}$ and $(x-y)^{100}$ have 101 terms each
In the expansion of $(x+y)^{100}+(x-y)^{100}$,
$2^{nd},4^{th},6^{th}.$..............terms get cancelled (total 50 terms) and
$1^{st},3^{rd}$.......... terms (total 51 terms) are added twice.
$\therefore$ no. of terms left over in the expansion = 51
answered Sep 15, 2013 by rvidyagovindarajan_1
 
No. Of terms = 51
answered Nov 19, 2016 by devanshugarg200ce
 

Related questions

...