The value of ( 0.125 + 0.0270.5 × 0.5 + 0.09 - 0.15 ) is :

Answer: Option C

Given expression :
$$\begin{array}{rl}& \frac{0.125+0.027}{0.5\times 0.5+0.09-0.15}\\ & =\frac{{\left(0.5\right)}^3+{\left(0.3\right)}^3}{{\left(0.5\right)}^2+{\left(0.3\right)}^2-\left(0.5\times 0.3\right)}\\ & =\left(\frac{a^3+b^3}{a^2+b^2-ab}\right)\\ & =\frac{\left(a+b\right)\left(a^2-ab+b^2\right)}{\left(a^2-ab+b^2\right)}\\ & =(a+b)\\ & =\left(0.5+0.3\right)\\ & =0.8\end{array}$$