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

Mar 6, 2018

Basic simplification leads to the following answer:

${x}^{3} + {x}^{2} - 52 x - 24$

#### Explanation:

By using basic distributive law:

$= \left(x + 8\right) \left({x}^{2} - 7 x - 3\right)$

$= \left(x \cdot {x}^{2}\right) + \left(x \cdot - 7 x\right) + \left(x \cdot - 3\right) + \left(8 \cdot {x}^{2}\right) + \left(8 \cdot - 7 x\right) + \left(8 \cdot - 3\right)$

yields

${x}^{3} - 7 {x}^{2} - 3 x + 8 {x}^{2} - 56 x - 24$

Simplifying that further by collecting like terms gets you the final answer:
${x}^{3} + {x}^{2} - 52 x - 24$