Question

dado o binomio (x+2)6. Determine o 5º termo

Answer 1

$(x+2)^6 = (x+a)^n$

Onde:

$\boxed{a = 2}$ , $\boxed{n=6}$ , $\boxed{p = 4}$

Termo geral: $\boxed{T_{p+1} = \left(\begin{array}{ccc}n\\p\end{array}\right)*x^{n-p}*a^p}$

$T_{4+1} = \left(\begin{array}{ccc}6\\4\end{array}\right)*x^{6-4}*2^4$

$T_{5} = (15)*x^{2}*16$

$\boxed{\boxed{T_{5} = 240x^2}}$

Espero ter ajudado. :))