Question

Determine o 3º termo no desenvolvimento de: (4x +1)6

Answer 1

Explicação passo-a-passo:

O termo geral é:

$\sf T_{p+1}=\dbinom{6}{p}\cdot(4x)^{6-p}\cdot1^p$

O 3° termo é:

$\sf T_{2+1}=\dbinom{6}{2}\cdot(4x)^{6-2}\cdot1^2$

$\sf T_{3}=\dbinom{6}{2}\cdot(4x)^4\cdot1^2$

$\sf T_{3}=15\cdot256x^4\cdot1$

$\sf T_{3}=\red{3840x^4}$