Answer
$18e^3-27e^2+37e+7$.
Work Step by Step
The given expression is
$=(3e^2-5e+7)(6e+1)$
Distribute $(6e+1)$ to each term of $(3e^2-5e+7)$.
$=3e^2(6e+1)-5e(6e+1)+7(6e+1)$
Use distributive property.
$=3e^2(6e)+3e^2(1)-5e(6e)-5e(1)+7(6e)+7(1)$
Multiply.
$=18e^3+3e^2-30e^2-5e+42e+7$
Combine like terms.
$=18e^3-27e^2+37e+7$
Hence, the product is $18e^3-27e^2+37e+7$.
