# Simplifying Multiple Like Terms

## Transcript

Question four. Okay, again we’re going to simplify but this time not all of these terms are like terms, okay? Because see how we have a p, we have a q, q, q and we also have a constant number. So we can’t gather them all together but what we can do is gather our like terms, so what I mean is p there’s no other p is it, so p there’s no other like terms of p, this one is going to be by itself. We can’t really merge it with anything else but see here q, q, q, they all end in q don’t they? These three end in q so those are like terms so we can gather those together.
And then 2, 2 is just a constant number and there are no other constant numbers, so we just leave 2 as it is. We can’t gather it up with anything. So I’m going to make it 12p as it is and then here I’m going to gather my coefficients, so 9 minus 3 minus 8, and then stick that q at the end. And then as I said 2 we can’t gather it with anything else just stick it at the end as it is okay? And all we need to do now is simplify the bracket, so we have 12p, nine minus three minus eight should be negative two. So we have negative 2q plus the two at the end and that’s it. We can’t simplify any further, because we don’t have any more like terms, that’s the idea. If you don’t see any more like terms, you don’t need to go any further okay? So that’s our simplest form of the answer.

Question five, okay again, we’re going to simplify but again they’re not all going to be like terms because see how the pronumerals are all different, so we only get the ones that are like terms, so see how k and k here we’ve got 6k and a negative 11k, these are like terms because they end in k, and we can see that 10d and minus 5d, these are also like terms, because they end in d which is the common pronumeral, okay? So gather them up together these together and gather these together. So the coefficients are 6 minus 11 and then we stick the k at the end and the coefficients here are 10 and minus five and again stick the d at the end, all right? So it’s very simple, it’s just really repetitive, so six minus eleven is negative five and then we stick the k, so negative five k and ten minus five is five, so five d and again that’s the simplest form we can’t go any further because we don’t have any more like terms okay, so you just leave it as it is and if you go like that. That’s the full mark answer, all right?

Again guys this time you are going to be telling me what the like terms are, what kind of pronumerals do we have here? Yeah, we’ve got a and we’ve also got a b so we’ve got two different types of pronumerals so six a and we’ve also got a here, so I usually like to use different shapes to circle the similar the same like terms, so for an I’ll use a circle and then here see how b is common, so this time I’ll use like a triangle or something you can use a square or a star or whatever you like. So let’s gather the like terms together, so we’ll gather the circles together and the triangles together. So, again work with the coefficients, so it’s going to be 6 minus 12 with the an at the end and minus 9 plus 7 with the b at the end, so gather the b’s and get the a’s okay 6 minuses 12 is negative 6 so negative 6 a and negative 9 plus 7 is negative 2 so negative two b, okay? And that’s the answer. I don’t have to explain money further because hopefully, you guys get the hang of it now.

Simplify this one okay guy a little bit different because we’ve got some squared involved but don’t be shocked by this just treat it the same way gather up the ones that are the same, so what’s is there anything else? Any other terms that have a squared? Yes, we’ve got one here I’ve got eight a squared. so these two are like terms and we’ve also got two a and negative 15a they all both have an in it, so those are like terms as well. So gather together the coefficients so 13 plus 8 with the a squared at the end and 2 minus 15 with the an at the end remember guys a squared and a these are not like terms. So you can’t get them together okay? So only the a squared together and the together separately, so that’s going to be 21, 2 minus 15 is negative 13. Okay and I know they’re both a but they’re not like terms because one’s a squared and the other one’s they’re not the same okay so they that’s the simplest form you can put it in, so that’s the answer to question seven. ## Probability with Two-Digit Numbers by Dice

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