cmi-entrance 2015 Q15

cmi-entrance · India · pgmath 10 marks Not Maths

Let $f \in \mathbb{C}[x,y]$ be such that $f(x,y) = f(y,x)$. Show that there is a $g \in \mathbb{C}[x,y]$ such that $f(x,y) = g(x+y, xy)$.

Let $f \in \mathbb{C}[x,y]$ be such that $f(x,y) = f(y,x)$. Show that there is a $g \in \mathbb{C}[x,y]$ such that $f(x,y) = g(x+y, xy)$.