Math News: Prime Numbers 3

Polynomials with 4 terms

Again, using the method of successive expansions of:
(A+B+C+D)e and setting the data on the basis of partial results:
(A+B+C+D)2=
(A+B)2+2(A+B)(C+D)+(C+D)2 Just counting the number of terms of each one of the expressions yields:
3 4 3

For other expansions, i.e. 3rd power the number of terms was:
4 6 6 4
For the 4th power the number of terms was:
5 8 9 8 5