[tex]\bf 64x^6-27y^3\qquad
\begin{cases}
64x^2\implies 2^6x^6\implies (2^2x^2)^3\implies (4x^2)^3\\
----------\\
27y^3\implies 3^3y^3\implies (3y)^3
\end{cases}
\\\\\\
(4x^2)^3-(3y)^3\\\\
-----------------------------\\\\
\textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3 \\ \quad \\
a^3-b^3 = (a-b)(a^2+ab+b^2)\qquad
(a-b)(a^2+ab+b^2)= a^3-b^3\\\\
-----------------------------\\\\
[/tex]
[tex]\bf (4x^2-3y)[(4x^2)^2+(4x^2)(3y)+(3y)^2]
\\\\\\
(4x^2-3y)(16x^4+12x^2y+9y^2)[/tex]
