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

May 15, 2016

#### Answer:

${x}^{3} + 4 {x}^{2} - 29 x + 24$

#### Explanation:

Given:$\text{ } \textcolor{b l u e}{\left(x - 3\right)} \textcolor{b r o w n}{\left({x}^{2} + 7 x - 8\right)}$

This is the same as:

color(brown)(color(blue)(x)color(brown)((x^2+7x-8))color(blue)(-3) color(brown)((x^2+7x-8)))

${x}^{3} + 7 {x}^{2} - 8 x - 3 {x}^{2} - 21 x + 24$

${x}^{3} + 4 {x}^{2} - 29 x + 24$