How do I multiply two brackets without missing terms when multiplying?

In order to answer these sorts of questions where you have double brackets and need to expand them it is useful to use the FOIL (First Outer Inner Last) method. By using this systematic method it ensures you do not miss any of the terms and can be sure that you have fully expanded both brackets. If we take the example: Expand the following (2X+5)(3X+2) (F) The first step is to multiply the FIRST term in each bracket so we will multiply 2X by 3X which gives 6X^2 (O)Next we multiply the two OUTER terms. So this is the first term from the first bracket and the last term in the second. 2X x 2 which gives us 4X (I) In the same way we now multiply the INNER terms. So in our case this will be 5 x 3X which equals 15X (L) Next we take the LAST term from each bracket which gives us 5 x 2 which equals 10 Finally we need to collect the answers that we have got from FOIL and simplify. So if we write down our answers with addition symbols we get 6X^2 + 4X + 15X + 10  In this case all we can do now is collect the two X terms 4X +15X = 19X so our final answer is 6X^2 + 15X + 10