There are many methods for expanding double brackets.

One of them is called **FOIL**. Each letter stands for the terms we will be multiplying out.

**F** - First

**O** - Outer

**I** - Inner

**L** - Last

**Remember to include the signs in front of each term when multiplying them out.**

After we have multiplied each of those, we are going to simplify the expression by collecting like terms.

Here's an example. Expand and simplify (x + 5)(x + 6).

F: x × x = x²

O: x × +6 = +6x

I: +5 × x = +5x

L: +5 × +6 = +30

Now let's simplify by collecting like terms (highlighted):

x² + 6x + 5x + 30 = x² + 11x + 30