if-x-y-gt-0-then-prove-that-x-2-1-xy-2-x-2-y-4-1-x-2-1-y-2-1-xy-x-2-y-xy-2-3xy-

Question Number 155774 by mathdanisur last updated on 04/Oct/21

if x; y > 0 then prove that :

\frac{x^{2} {(1 + xy)}^{2} + x^{2} y^{4} {(1 + x)}^{2} + {(1 + y)}^{2}}{1 + xy + x^{2} y + {xy}^{2}} ⩾ 3 xy