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 :
Answer & explanation
Correct answer: option 2
$\frac{1.6×1.6×1.6-0.6×0.6×0.6}{1.6×1.6+1.6×0.6+0.6×0.6}$
=
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