The value of $\frac{1.6×1.6×1.6-0.6×0.6×0.6}{1.6×1.6+1.6×0.6+0.6×0.6}$ is :

0 1 -1 2

1

$\frac{1.6×1.6×1.6-0.6×0.6×0.6}{1.6×1.6+1.6×0.6+0.6×0.6}$ =  a3 - b3 = ( a - b ) ( a2 + b2 + ab ) ( a - b ) = \(\frac{a^3 + b^3}{a^2 + b^2 + ab }\) \(\frac{a^3 + b^3}{a^2 + b^2 + ab }\) = $\frac{1.6×1.6×1.6-0.6×0.6×0.6}{1.6×1.6+1.6×0.6+0.6×0.6}$ Here a = 1.6 and b = 0.6 a - b = 1.6 - 0.6 = 1