(256×256×256-144×144×144)/(256×256+256×144+144×144) is equal to:

$\frac{256×256×256-144×144×144}{256×256+256×144+144×144}$

= \(\frac{ (256)³ - (144)³ }{ ( 256)² + 256×144 + ( 144)² }\)

{ using the formula ,  a³  - b³  = ( a - B ) . ( a² + ab + b² ) }

= \(\frac{ ( 256 - 144 ) [ ( 256)² + 256×144 + ( 144)² ]  }{ ( 256)² + 256×144 + ( 144)² }\)

= 256 - 144

= 112