Respuesta :
False. The SUM of the exponents of each term is n.
(a+b)^n = a^n b^0 + a^(n-1) b^1 + ......
(a+b)^n = a^n b^0 + a^(n-1) b^1 + ......
Answer:
False
Step-by-step explanation:
In any binomial expansion of the form
[tex](x+a)^n = \Sigma_0^n nCr x^{n-r} a^{r}[/tex]
We find that each term has decreasing powers of x by 1 and increasing powers of a by 1, such that the sum of exponents is always n
Hence product of exponents of each term cannot be n.
The given statement is false.
Only the sum of the exponents of each term in a binomial expansion has degree n