If x and y are real nos. not equal to zero, show that

\frac{x^2}{y^2}+\frac{16y^2}{x^2}+24\geq\frac{8x}{ y}+\frac{32y}{x}.

The book hinted that binomial thingy (maybe expansion, I forgot) may be used.

EDIT:

BTW, please teach me how to use that \frac, \leq, etc.