Question

Sabendo que a^5+(5/2)a^4b+(5/2)a^3b^2....... Calcule (a+b)^2

Answer 1

Resposta:

16

Explicação passo-a-passo:

$a^5+(5/2)a^4b+(5/2)a^3b^2.....=\\\\a^5 + 5a^4b + 10 a^3b^2 + 10 a^2b^3 + 5ab^4 + b^5 = (a+b)^5\\\\(a+b)^5=1024\\\\(a+b)^5=2^10\\\\(a+b)^5=2^5.2^5\\(a+b)=\sqrt[5]{2^5.2^5} \\(a+b)=4\\\\(a+b)^2 = 4^2=16$