Please factorise fully: 2a^2 + 6a

We are factorising 2a² +6a. When we factorise an expression, we look for common terms that we can place outside of a bracket. Another way of thinking about this is something that both 2a² and 6a can be divided with.Both 2a² and 6a can be divided by a, as 2a²/a = 2a and 6a/a = 6. In addition, both 2a^2 and 6a can be divided by 2.Thus we can place 2a outside the bracket, as follows:2a(a +3)Just to check that this factorisation is correct, we will multiply out the brackets as shown below:(2a . a)+(2a . 3) = 2a² + 6a