Evaluate: (12x^3+6x)/(6x)

Expression: $\frac{12x^{3}+6x}{6x}$

Factor $12x^{3}+6x:{\quad}6x(2x^{2}+1)$

$=\frac{6x(2x^{2}+1)}{6x}$

Cancel the common factor: $ 6$

$=\frac{x(2x^{2}+1)}{x}$

Cancel the common factor: $ x$

$=2x^{2}+1$