45³+55³ =(45+55)(45²-45*55 +55²) = 100* (45²- 45*55 +55²)
(45³+55³ )/100 - 45 *55 = (100* (45²- 45*55 +55²))/100 - 45*55 =
= 45² -45*55 +55² -45*55 = 45²- 2*45*55 +55² =( 45 - 55)² =( -10)² =100
