Factorize the following expression : \( (2x – 3y)^3 + (4z – 2x)^3 + (3y – 4z)^3 \)
\[
(2x – 3y)^3 + (4z – 2x)^3 + (3y – 4z)^3
\]
\[
\text{Let }
a = (2x – 3y),\quad
b = (4z – 2x),\quad
c = (3y – 4z)
\]
\[
a + b + c = 0
\]
\[
\therefore a^3 + b^3 + c^3 = 3abc
\]
\[
= 3(2x – 3y)(4z – 2x)(3y – 4z)
\]