Is the number of terms in any binomial expansion always one more than the degree?
So, (x + y) ^ 10 - number of terms is 11. And also 11 for (x + y +2z) ^ 10 ??
And for (w + 2x + y -5z) ^ 12 - number of terms is 13.
Also, I know how to find the coefficient of any term where there are only 2 factors, like:
(2s -t) ^ 12
But how do I find the coefficient of the x^2 y^3 z^5 term for (x + y + z) ^ 10 ?