Question

sendo o binomio (z+x)5 calcule
a) t1
b)t5

Answer 1

$T_{k+1}= Cn,k * a^{n-k}*b^{k}$

a)

$k = 0$
$T_{0+1}= Cn,1 * a^{n-k}*b^{k}$
$T_{0+1}= Cn,0 *a^{5-0}*b^{0}$
$T_{1}=1*z^{5}*1$
$T_{1}=z^{5}$

b)

$k = 4$
$T_{4+1}= Cn,4 * a^{n-4}*b^{4}$
$T_{5}= C5,4 * z^{5-4}*x^{4}$
$T_{5}= 5 * z^{1}*x^{4}$
$T_{5}=5zx^{4}$