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Total no. of of terms in the expansion of (x+a)^100 + (x-a)^100 after simplication is? and how is the answer - 50 if simplication is 2(X 100 + 100 c 2 x 98 a 2 + 100 c 4 x 96 a 4 +….+ 100 c 100 a 100 )


Total no. of of terms in the expansion of (x+a)^100  + (x-a)^100 after simplication is?


and how is the answer - 50 if simplication is 


2(X100+100c2  x98 a2 + 100c4 x96 a4+….+100c100 a 100)

Grade:11

3 Answers

Aditya Verma
33 Points
11 years ago

hey the ans of your question is 51 not 50

after simplification its going to be

2(X100+100c2  x98 a2 + 100c4 x96 a4+….+100c100 a 100)

from  a2 - a100 there are 50 terms but you forgot the first term so the ans is 51.

Hope i helped..!

Venky
21 Points
6 years ago
2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,90,92,94,96,98,100. There are 50terms from a^2 to a^100 but what about a^0 is it included or no
Venky
21 Points
6 years ago
2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,90,92,94,96,98,100. There are 50terms from a^2 to a^100 but what about a^0 is also included so final answer is 51 terms

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