You probably know how to expand simple bracket such as: 5(b + 3) = 5b + 15 or 5a(b + 4) = 5ab + 20a.

Now we are going to look at expanding brackets where some of the terms involve indices.

You can use index laws to help you simplify terms when expanding brackets.

Remember that when you multiply out the numbers with indices, you just add the powers.

For example w³ × w² = w^{5}

Let's apply this to expanding brackets.

Expand 5a²(a^{4} + 2a)

5a² × a^{4} = 5a^{6}

5a² × 2a = 10a³

So the answer is 5a^{6} + 10a³.