The value of ( 2.3 )^3 - 0.027 ( 2.3 )^2 + 0.69 + 0.09 is :

Answer: Option C

$$\begin{array}{rl}& =\frac{{\left(2.3\right)}^3-0.027}{{\left(2.3\right)}^2+0.69+0.09}\\ & =\frac{{\left(2.3\right)}^3-{\left(0.03\right)}^3}{{\left(2.3\right)}^2+\left(2.3\times 0.3\right)+{\left(0.3\right)}^2}\\ & =\left[\frac{a^3-b^3}{a^2+ab+b^2}\right]\\ & =\left(a-b\right)\\ & =\left(2.3-0.3\right)\\ & =2\end{array}$$