Answer
$-30v^3+14v^2+53v-36$.
Work Step by Step
The given expression is
$=(6v^2+2v-9)(4-5v)$
Distribute $(4-5v)$ to each term of $(6v^2+2v-9)$.
$=6v^2(4-5v)+2v(4-5v)-9(4-5v)$
Use distributive property.
$=6v^2(4)+6v^2(-5v)+2v(4)+2v(-5v)-9(4)-9(-5v)$
Multiply.
$=24v^2-30v^3+8v-10v^2-36+45v$
Combine like terms.
$=-30v^3+14v^2+53v-36$
Hence, the product is $-30v^3+14v^2+53v-36$.
