Question

I need help finding which two could be differences of perfect cubes

Answer 1

Solution:

The differences of perfect cube is expressed in the form:

$(a)^3-(b)^3$

From the given options, we have the difference of perfect cubes to be

$\begin{gathered} 216a^6-27y^3\Rightarrow\left(6a^2\right)^3-\left(3y\right)^3 \\ \\ 8a^{15}-27\Rightarrow(2a^5)^3-(3)^3 \end{gathered}$

Hence, the correct options are