Factorize the following expression : \( a^3 + 8b^3 + 64c^3 – 24abc \)
\[
a^3 + 8b^3 + 64c^3 – 24abc
\]
\[
= a^3 + (2b)^3 + (4c)^3 – 3(a)(2b)(4c)
\]
\[
= (a + 2b + 4c)
\left(
a^2 + 4b^2 + 16c^2 – 2ab – 8bc – 4ac
\right)
\]