Răspuns:
Explicație pas cu pas:
[tex](a+b)(\frac{1}{a}+\frac{1}{b})=2+\frac{a}{b}+\frac{b}{a},~~(a+b)*\frac{a+b}{ab}=2+\frac{a}{b}+\frac{b}{a} ,~~~\frac{(a+b)^{2}}{ab}=2+\frac{a^{2}+b^{2}}{ab},~~ ~\frac{(a+b)^{2}}{ab}- \frac{a^{2}+b^{2}}{ab}=2,~~~\frac{(a+b)^{2}-(a^{2}+b^{2})}{ab}=2, ~~~\frac{a^{2}+2ab+b^{2}-a^{2}-b^{2}}{ab}=2,~~\frac{2ab}{ab}=2, ~=>~2=2,~ADEVARAT...[/tex]
