Thanks guest,
It is great to see that my post sparked some interest. :)
The first one is great.
You did make one small error though. (It is a very common error all through mathematics)
Can you find it?
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The second one is also good. I haver not checked it I am just impressed that you did it. I assume it is correct since you did it with a program.
However I do not understand your formula. How can 6+3- a positive number =28
mmmm
Oh maybe my detective work has worked.... do you mean ???
nCr
where n=6+3-1 [Exponent of polynomial + number of terms - 1]
and r = 6 [exponent of polynomial]
So that is 8C6 = 28 Bingo
So for a nomal cubic binomial (a+b)^3 There would be (3+2-1)C3 = 4C3 = 4 terms.
Das ist Ausgezeichnet!