Answer
$12x^4+42x^2$
Work Step by Step
$6x(2x^3+7x)\longrightarrow$ multiply using the distributive property
$6x(2x^3)+6x(7x)\longrightarrow$ multiply the coefficients and add the exponents
$12x^{(1+3)}+42x^{(1+1)}\longrightarrow$ simplify
$12x^4+42x^2$