Question

Разложить на множители √2х-√3у+√2у-√3х

Answer 1

$sqrt{2}x-sqrt{3}y+sqrt{2}y-sqrt{3}x = \ =sqrt{2}x-sqrt{3}x+sqrt{2}y-sqrt{3}y= \ =(sqrt{2}-sqrt{3})x+(sqrt{2}-sqrt{3})y=\ =(sqrt{2}-sqrt{3})(x+y)$