Question 4: Factorize:
\((vi)\) \(\; \) \(27-512y^3 \)
Solution:
$\displaystyle\ \ \ \ 27-512y^{3}$
$\displaystyle =( 3)^{3} -( 8y)^{3}$
$\displaystyle =( 3 -8y)\left[( 3)^{2} +( 3)( 8y) +( 8y)^{2}\right]$
$\displaystyle =( 3-8y)\left( 9+24y+64y^{2}\right)$