IPMAT Indore 2022
Modern Math
Binomial Theorem
Medium
The sum of the coefficients of all the terms in the expansion of is __________.
The sum of the coefficients of all the terms in the expansion of is __________.
Entered answer:
✅ Correct Answer: 256
To find the sum of coefficients in any polynomial expansion, substitute .
Take the original expression: Substitute :
Calculate :
When we expand , we get: To find , substitute :This method works for any polynomial and is much faster than full expansion. Sum of coefficients
Take the original expression: Substitute :
Calculate :
When we expand , we get: To find , substitute :This method works for any polynomial and is much faster than full expansion. Sum of coefficients
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