Question 4: Factorize:
\((ii)\) \(\;\) \(64x^3+125\)
Solution:
$\displaystyle \ \ \ \ 64x^{3} +125$
$\displaystyle =( 4x)^{3} +5^{3}$
$\displaystyle =( 4x+5)\left[( 4x)^{2} -( 4x)( 5) +5^{2}\right]$
$\displaystyle =( 4x+5)\left( 16x^{2} -20x+25\right)$