Question

How do you multiply `(v ^ { 2} - 7v - 4) ( 6v ^ { 2} - 3v - 7)`?

Answer 1

`6v^4-45v^3-10v^2+61v+28`

Explanation:

Let's multiply:

`6v^4color(red)(-3v^3)color(green)(-7v^2)color(red)(-42v^3)color(green)(+21v^2)color(blue)(+49v)color(green)(-24v^2)color(blue)(+12v)+28`

Let's sum the like terms:

`6v^4-45v^3-10v^2+61v+28`