Question

aplique o teorema de newton para desenvolver a potência (×+a)5

Answer 1

Ola Edu

c1 = C(5,0) = 5!/0!5! = 1
c2 = C(5,1) = 5!/1!4! = 5
c3 = C(5,2) = 5!/2!3! = 10
c4 = C(5,3) = 5!/3!2! = 10
c5 = C(5,4) = 5!/4!1! = 5
c6 = C(5,5) = 5!/5!0! = 1

(x + a)^5 = x^5 + 5*x^4*a^1 + 10*x^3*a^2 + 10*x^2*a^3 + 5*x^1*a^4 + a^5