Question Number 148428 by 0731619 last updated on 27/Jul/21

Answered by Mathspace last updated on 27/Jul/21

(((a+b)^2 )/(ab))−3 =(((a+b)^2 −3ab)/(ab)) =((a^2 +2ab+b^2 −3ab)/(ab)) =((a^2 −ab+b^2 )/(ab))=((a^2 −2a(b/2)+(b^2 /4)+b^2 −(b^2 /4))/(ab)) =(((a−(b/(2 )))^2 +((3b^2 )/4))/(ab))>0