**Expanding brackets** means removing brackets by multiplying everything inside of the bracket by what is just outside of the bracket.

Let's have a look at a few examples to see this in action.

**e.g. Expand 3(4x − 2).**

We will multiply **3** by **4x** and **3** by **−2**.

3 × 4x = 12x

3 × −2 = −6

Now we put these elements back together to get our final answer:

**12x − 6**

**e.g. Expand −5(7 − 5b).**

We will follow the same method, but we need to be careful with the negative signs here.

−5 × 7 = −35

−5 × − 5b = 25b (positive!)

So our answer is:

**−35 + 25b**

Remember:

When we multiply a **negative** by a **positive** number, our answer is **negative**.

When we multiply two **negative** numbers, our answer will be **positive**.

In this activity, we will expand one set of brackets in calculations and problems, expressing our answers in their simplest forms.