The value of $$\frac{(0.321)^3+(0.456)^3-(0.777)^3}{0.9 \times (0.107)(0.76)(0.777)}$$ is

$$\frac {(0.321)^3 + (0.456)^3 - (0.777)^3} { 0.9 \times (0.107) (0.76) (0.777)}$$

$$\Rightarrow\frac { (0.321)^3 + (0.456)^3 -( 0.321 + 0.456 )^3 } { 0.9 \times (0.107) (0.76) (0.777)}$$

$$\Rightarrow\frac {( 0.321)^3 + (0.456)^3 - [(0.321)^3 + (0.456)^3 + 3 \times (0.321) (0.456) (0.777)]} {0.9 \times (0.107)(0.76) (0.777)}$$

$$\Rightarrow\frac {- 3 \times( 0.321)(0.456)(0.777)} {0.9 \times (0.107)(0.76)(0.777)}$$

$$\Rightarrow\frac {- (0.321)(0.456)} {0.3 \times (0.107) (0.76)}$$

$$\Rightarrow\frac {- (0.321)(0.456)} { (0.321) (0.76)}$$

$$\Rightarrow\frac {- (0.456)} { (0.76)}$$

$$\Rightarrow {- 6} $$