Factorize the following expression : \( 125 + 8x^3 – 27y^3 + 90xy \)
\[
125 + 8x^3 – 27y^3 + 90xy
\]
\[
= 5^3 + (2x)^3 + (-3y)^3 – 3(5)(2x)(-3y)
\]
\[
= (5 + 2x – 3y)
\left[
25 + 4x^2 + 9y^2 – 10x + 15y + 6xy
\right]
\]