Question

Calcule (Binômio de Newtom):
​

Answer 1

Resposta:

g) 210

h) 9

i) 1675

j) 11790

k) 155,91

Explicação passo-a-passo:

g)

$\dfrac{21!}{2!19!} = \dfrac{21*20*19!}{2*19!} = 21 * 10 = 210$

h)

$\dfrac{10!-9!}{9!} = \dfrac{10*9!-9!}{9!} = \dfrac{9!(10-1)}{9!} = 10 - 1 = 9$

i)

$\dfrac{8!-5!}{4!} = \dfrac{8*7*6*5!-5!}{4!} = \dfrac{5!(336-1)}{4!} = \dfrac{5*4!*335}{4!} = 5 * 335 = 1675$

j)

$\dfrac{12!-10!}{8!} = \dfrac{12*11*10!-10!}{8!} = \dfrac{10!(132-1)}{8!} = \dfrac{10*9*8!*131}{8!} = 10* 9 * 131 = 11790$

k)

$\dfrac{13!-10!}{11!} = \dfrac{13*12*11*10!-10!}{11!} = \dfrac{10!(1716-1)}{11!} = \dfrac{10!*1715}{11*10!} = \dfrac{1715}{11} = 155.91$

Answer 2

Resposta:

210

9

1675

11790

155,91