Question

Решите рационально
480³-480²-480*479-479²-479³

Answer 1

$underbrace {480^3-480^2}-480cdot 479-underbrace {479^2-479^3}=\\=underbrace {480^2(480-1)}-480cdot 479-underbrace {479^2(1+479)}=\\=underbrace {480^2cdot 479-479^2cdot 480}-480cdot 479=\\=480cdot 479cdot (480-479)-480cdot 479=480cdot 479cdot 1-480cdot 479=0$