You may already know how to expand simple bracket such as:
5(b + 3) = 5b + 15
5a(b + 4) = 5ab + 20a
Now we are going to look at expanding brackets where some of the terms involve indices.
Remember that indices is just another way of saying powers.
We can use index laws to help us simplify terms when expanding brackets.
Remember that when we multiply out numbers with indices, we can just add the powers:
e.g. w³ × w² = w5
Let's apply this to expanding brackets.
e.g. Expand 5a²(a4 + 2a)
5a² × a4 = 5a6
5a² × 2a = 10a³
So the answer is: 5a6 + 10a³
In this activity, we will expand brackets to create simpler expressions, applying index laws to calculate successfully when working with powers.