Question

Desenvolvendo o binômio (a3 +x2)6 , o terceiro termo será?

Answer 1

Tk+1 = binomial(n,k).X^(n-k) . A^k

binomial(n,k) = n!/(n-k)!k!

T3 = T2 + 1 → k = 2 ; n = 6 

(X + A)^n = (a³ + x²)^6 

T3 = binomial(6,2).(a³)^(6-2).(x²)²

T3 = 6!/(6-2)!2! (a³)^4.x^4

T3 = 6.5.4!/4!2! a^12.x^4

T3 = 15.a^12.x^4

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07/10/2016
Sepauto 
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