Question

Binômios

Calcule o 5° termo de:
$(x + a)^{9}$
​

Answer 1

Resposta:

(x+y)^n

Tk+1 =  n,k  * x^(n-k)  * y^k  

(x+a)⁹

n=9

k+1=5 ==>k=4

T₅ = C9,4  * a⁵ * x⁴

T₅ = 9!/(9-4)!4!  * a⁵ * x⁴

T₅ = 9!/(5)!4!  * a⁵ * x⁴

T₅ = 126 * a⁵ * x⁴