Question 3: Factorize:
\((i)\) \(\;\) \( 8x^3+12x^2+6x+1\)
Solution:
$\displaystyle \ \ \ \ 8x^{3} +12x^{2} +6x+1$
$\displaystyle =( 2x)^{3} +3\left( 4x^{2}\right)( 1) +3( 1)( 2x) +1^{3}$
$\displaystyle =( 2x)^{3} +3( 2x)^{2}( 1) +3( 2x)( 1)^{2} +1^{3}$
$\displaystyle =( 2x+1)^{3}$