11amazing111
11amazing111 11amazing111
  • 07-12-2018
  • Mathematics
contestada

what is the second term of (x+3)^9???
A. x^9
B. 3x^9
C. 9x^8
D. 27x^8

Respuesta :

obasola1
obasola1 obasola1
  • 17-12-2019

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

Answer Link

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