okay welcome back so the next topic can be looking at in algebra is multiplying brackets so again we're still at start and the example can be looking at is this one here in front here X minus F in one bracket your the bracket 2x squared minus 3x plus 6 is there two ways you can go about it so the way I would probably call the rainbow way so you're going to go X multiplied by 2 x squared X by minus 3x and X by plus 6 and here I go minus 5 by 2 x squared minus 5 by minus three X and minus 5 y plus 6 you get the same answer either way when I go through it the first way first you're gonna get 2x cubed minus 3x squared plus 6x and the second one minus 5 by 2 x squared you get minus 10x squared it's going to be plus 15 X because minus 5 by minus 3 is gonna be plus 15 and then - bye - is always plus and the last one that is going to be minus 30 so this is gonna give us we're gonna add all the like terms together so 2x cubed is gonna be one of them the next one we're gonna have minus 13x squared did you experience together we're gonna have plus 21x from the X's minus 30 okay so that's - that's the one way of doing it so that'll probably be the faster way of doing it I'd say well the way of viewing us if you have again X minus F X - 5 sorry not have 2x squared minus 3x plus 6 okay so you can break it up into two separate brackets so you're gonna get X by 2x squared minus 3x plus 6 and the next when you have minus 5 so it's gonna drop the line there to save space too little it's gonna get in the way 2x squared minus 3x plus 6 so you're the same thing but it's just break it up into separate bits if you try to do that all in your head you think if you go back up if you think do it on your head is a little bit too much you can just break it up into two separate ones you're gonna get the same answer it's gonna be 2x cubed minus 3x squared plus 6x - 10 x squared + 15 X - 30 and then you're gonna get the same thing as you got above so it's gonna be 2 x cubed minus 13x squared plus 21 X and minus 30 so again very basics but just whichever one is come to earth feels more comfortable you can do we'd recommend in the first one because it's a bit quicker and this method up here you can try and do that all in your head but again you can take your time into this one as well thanks for watching