so here we have two questions where we are going to multiply the two brackets together in each of these brackets there are two terms so we call that a binomial by meaning two like a bicycle it's got two wheels so we're going to multiply these two binomials together now there's various ways to do this i've seen teachers using different techniques but a nice simple way to do it is as follows so what we need to do is everything in this bracket must multiply with everything in that bracket okay so whichever order you want to do but as long as you do each thing has to be multiplied with the other so so the first thing we're going to start i'm going to start off with is this one over here x now this x has to multiply with this and it's also going to have to multiply with that so let's do that x times x is x squared then we have x times by 2 or plus 2 so that's going to be plus 2x so we've done all we've done this x now now we need to look at this minus three which needs to multiply with that x and it needs to multiply with that plus two so minus three times by x is minus three x and minus 3 times by positive 2 is minus 6. what we now do is we scan across these four terms and we see if there are any like terms well yes they are 2x and 3x are like terms and so positive 2x minus 3x is well what's 2 minus 3 well that's minus 1. so that's going to be x squared minus 1x minus 6 and that's the answer for that first one moving on to the next one so we know that this x over here has to be multiplied by this x and it also has to be multiplied by that 2. so let's start so x times x is x squared x times by 2 is positive 2x now this 7 has to be multiplied by that x and it has to be multiplied by that 2. so 7 times x is 7x and 7 times 2 is 14. there we go then what we do is we scan these four terms once again and we put any like terms together where here we have a 2x and a 7x so 2x plus 7x is 9x plus 14.