Answer
$2d^3+11d^2+d+42$.
Work Step by Step
The given expression is
$=(d+6)(2d^2-d+7)$
Distribute $(2d^2-d+7)$ to each term of $(d+6)$.
$=d(2d^2-d+7)+6(2d^2-d+7)$
Use distributive property.
$=d(2d^2)+d(-d)+d(7)+6(2d^2)+6(-d)+6(7)$
Multiply.
$=2d^3-d^2+7d+12d^2-6d+42$
Combine like terms.
$=2d^3+11d^2+d+42$
Hence, the product is $2d^3+11d^2+d+42$.
