I want to open the brackets of this problem
The answer to this should be -(x^2/8)-(x^3/8)-(x^4/32)-(x^4/24)-........+(x^3/24)+(x^4/16)+..........
This is a part of a expansion problem whose original question is log(1+e^x)
I know we have to use the binomial theorem but dont know how.
Because in (a+b)^n there are only two terms but in the first bracket there are three terms.
Please help me with this as i have my exams on this within few days. Thank You.
(Hopefully breaking this up like this will help you see the pattern.)
The smaller products aren't hard to work out or spot patterns in to help you remember them. But these are merely specific examples of a more general expansion, called the "multinomial theorem."
Hope it helps!