$\frac{256×256×256-144×144×144}{256×256+256×144+144×144}$ is equal to:

122 112 400 312

112

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