Question

Determine o 3º termo do desenvolvimento do binômio ( x + 1 )15

Answer 1

$\boxed{\begin{array}{l}\underline{\rm Termo~geral~do~bin\hat omio~de~Newton}\\\displaystyle\sf T_{p+1}=\binom{n}{p}a^{n-p}\cdot b^p\\\sf p+1=3\\\\\sf p=3-1\\\sf p=2\\\\\displaystyle\sf T_{2+1}=\binom{15}{2}x^{15-2} 1^2\\\\\displaystyle\sf T_3=105x^{13}\end{array}}$