Question 3: Factorize:
\((iv)\) \(\; \)\(8x^3-125y^3+150xy^2-60x^2y \)
Solution:
$\displaystyle \ \ \ \ 8x^{3} -125y^{3} +150xy^{2} -60x^{2} y$
$\displaystyle =8x^{3} -60x^{2} y+150xy^{2} -125y^{3}$
$\displaystyle =( 2x)^{3} -3( 2x)^{2}( 5y) +3( 2x)( 5y)^{2} -( 5y)^{3}$
$\displaystyle =( 2x-5y)^{3}$