Factorise fully 30x squared + 20x cubed

We can first factor out a common factor of 10x squared to get:

30x squared + 20x cubed = 10x squared (3 + 2x)

To fully factorise, we need to see if there are any further common factors between the two terms inside the brackets. In this case, there are none. Therefore, the fully factorised form is:

30x squared + 20x cubed = 10x squared (3 + 2x)

To factorize the expression 30x^2 + 20x^3, we first need to find the greatest common factor (GCF) of the two terms. In this case, both terms have a common factor of 10x^2:

10x^2(3 + 2x)

So, 30x^2 + 20x^3 can be fully factorized as 10x^2(3 + 2x).