How can I prove this inequality?
$$\frac{(a+b)^2}{x+y} \leq \frac{a^2}{x} + \frac{b^2}{y},$$
where $a,b \geq 0$ and $x,y >0$.
How can I prove this inequality?
$$\frac{(a+b)^2}{x+y} \leq \frac{a^2}{x} + \frac{b^2}{y},$$
where $a,b \geq 0$ and $x,y >0$.
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