( 0.73 )^3 + ( 0.27 )^3 ( 0.73 )^2 + ( 0.27 )^2 - 0.73 × 0.27 = ?

Answer: Option D

$$\begin{array}{rl}& \text{Given,}\\ & \frac{{\left(0.73\right)}^3+{\left(0.27\right)}^3}{{\left(0.73\right)}^2+{\left(0.27\right)}^2-0.73\times 0.27}\\ & \text{let }a=0.73\text{ and }b=0.27\end{array}$$
 $$=\frac{\left(0.73+0.27\right)\left[{\left(0.73\right)}^2+{\left(0.27\right)}^2-0.73\times 0.27\right]}{{\left(0.73\right)}^2+{\left(0.27\right)}^2-0.73\times 0.27}$$
$$\begin{array}{rl}& \left[\because a^3+b^3=\left(a+b\right)\left(a^2+b^2-ab\right)\right]\\ & =0.73+0.27\\ & =1\end{array}$$