Factorize the following expression : \( 8x^3 – 125y^3 + 180xy + 216 \)
\[
8x^3 – 125y^3 + 180xy + 216
\]
\[
= (2x)^3 + (-5y)^3 + 6^3
– 3(2x)(-5y)(6)
\]
\[
= (2x – 5y + 6)
\left[
4x^2 + 25y^2 + 36
+ 10xy – 12x + 30y
\right]
\]