Question

calcule o 50 termo no desenvolvimento ( − 1)
10 =​

Answer 1

Explicação passo-a-passo:

O termo geral é:

$\sf T_{p+1}=\dbinom{10}{p}\cdot x^{10-p}\cdot(-1)^p$

O 5° termo é:

$\sf T_{4+1}=\dbinom{10}{4}\cdot x^{10-4}\cdot(-1)^4$

$\sf T_{5}=\dfrac{10!}{4!\cdot6!}\cdot x^6\cdot1$

$\sf T_{5}=\dfrac{3628800}{17280}\cdot x^6$

$\sf \red{T_{5}=210x^6}$