# How do you multiply (x+6)(x+1)?

May 4, 2016

${x}^{2} + 7 x + 6$

#### Explanation:

The proper name for what I am about to show you is the property of being 'distributive'.

As a first step example: suppose we had $2 \left(x + 5\right)$ then you multiply everything inside the bracket by 2 so you end up with $2 x + 10$

Given" "color(blue)((x+6)color(brown)((x+1))

Write as:

color(blue)(x)color(brown)((x+1))color(blue)(+6color(brown)((x+1))" " This is the result of being 'distributive'.
$\text{ }$Notice the + follows the 6.

Multiply everything inside the brackets by what is outside it.

${x}^{2} + x + 6 x + 6$

${x}^{2} + 7 x + 6$