Respuesta :

Answer:

D. 27x^8

Step-by-step explanation:

what is the second term of (x+3)^9???

A. x^9

B. 3x^9

C. 9x^8

D. 27x^8

this expansion can be solved using pascal triangle or

the binomial expansion can be designated with the formula usin combination rule.

n=number of terms

[tex]^{n} c_{r} P^{r} Q^{n-r}[/tex]

let n=9

r=0

P=x

Q=3

P decreases n value while Q increases

n!/(n-r)!*r!

for the first term

9!/(9-0)!0! *x^9*3^0

for the second term

9!/(9-1)!1! *x^8*3^1

9*x^8*3

D. 27x^8