The value of  $$\frac{0.061\times0.061\times0.061+0.031\times0.031\times0.031}{0.061\times0.061- 0.061\times0.031+0.031\times0.031}$$  is:

Correct option is A

Given:

​$$\frac{0.061\times0.061\times0.061+0.031\times0.031\times0.031}{0.061\times0.061- 0.061\times0.031+0.031\times0.031}$$​​​

Formula Used:

​$$a^{3}+b^{3} = (a+b)(a^{2}+b^{2}-ab)$$​​

Solution:

= $$\frac{0.061\times0.061\times0.061+0.031\times0.031\times0.031}{0.061\times0.061- 0.061\times0.031+0.031\times0.031}$$  ​

= $$\frac{0.061^3+0.031^3}{0.061^2 +0.031^2 -0.061\times0.031}$$​​

Using $$a^3 + b^3$$​formula we get:

​$$\frac{(0.061+0.031)(0.061^2 +0.031^2 -0.061\times0.031)}{0.061^2 +0.031^2 -0.061\times0.031}$$ ​

​$$=(0.061+0.031) = \bf0.092$$​​