The value of 1.6 × 1.6 × 1.6 - 0.6 × 0.6 × 0.61.6 × 1.6 + 1.6 × 0.6 + 0.6 × 0.6 is:

Answer: Option B

$$\begin{array}{rl}& \frac{1.6\times 1.6\times 1.6-0.6\times 0.6\times 0.6}{1.6\times 1.6+1.6\times 0.6+0.6\times 0.6}\\ & =\frac{{\left(1.6\right)}^3-{\left(0.6\right)}^3}{{\left(1.6\right)}^2+1.6\times 0.6+{\left(0.6\right)}^2}\\ & =\frac{\left(1.6-0.6\right)\left\{{\left(1.6\right)}^2+1.6\times 0.6+{\left(0.6\right)}^2\right\}}{{\left(1.6\right)}^2+1.6\times 0.6+{\left(0.6\right)}^2}\\ & =1.6-0.6\\ & =1\end{array}$$