Question

How do you multiply `(x+8)(x^2-7x-3)`?

Answer 1

`(x+8)(x^2−7x−3)`

There are several ways to do this.
One method is to separate the two terms of the first factor and multiply the second factor by each separately before recombining:

`(color(red)(x)+color(blue)(8))(x^2−7x−3)`

`=color(red)(x(x^2-7x-3)) + color(blue)(8(x^2-7x-3))`

`= color(red)(x^3-7x^2-3x) + color(blue)(8x^2-56x-24)`

`= x^3 +x^2-59x-24`