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

May 9, 2015

(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)

$= \textcolor{red}{x \left({x}^{2} - 7 x - 3\right)} + \textcolor{b l u e}{8 \left({x}^{2} - 7 x - 3\right)}$

$= \textcolor{red}{{x}^{3} - 7 {x}^{2} - 3 x} + \textcolor{b l u e}{8 {x}^{2} - 56 x - 24}$

$= {x}^{3} + {x}^{2} - 59 x - 24$