Expand the brackets (x-3)(x+4)

When dealing with questions to do with expanding brackets, you must multiply every term in one bracket with all the others in the second bracket. So for this question, we can see we have 4 terms in total:



Let's take the first term from the first set of brackets and multiply it with the terms in the second set of brackets.



Then, let's take the second term from the first set of brackets and multiply it with the terms in the second set of brackets.



Finally, we need to put our two answers together and combine our like terms so we can give our answer in its simplest form.



Something to remember with negative terms is that the negative sign will affect any term you multiply it with. Therefore the negative in front of the 3 will affect every term we multiply it with, turning them into -3x and -12.