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Simplify:'8z7)2€ T2Factor:8p393 20p244 + 12pq3Factor:23 + 8r? _ 3c - 24Factor:3m2 4mn 3m + 4n...

Question

Simplify:'8z7)2€ T2Factor:8p393 20p244 + 12pq3Factor:23 + 8r? _ 3c - 24Factor:3m2 4mn 3m + 4n

Simplify: '8z7)2€ T2 Factor: 8p393 20p244 + 12pq3 Factor: 23 + 8r? _ 3c - 24 Factor: 3m2 4mn 3m + 4n



Answers

Completely factor the expression. $$3 t^{3}+24$$

In order to fact race to M squared minus 3 a.m. minus 3 80 plus two. Empty. So first off, all we will rearrange it. So I am gonna interchange last two times. So this is, um, a square minus 3 a.m. plus two empty minus 3 80 in forced totems. We can take em comin. So if we take em comin, we have to him minus three again. In the last two times we can take to t common. So then here we have two M minus tree, not too. M minus three is presenting border terms, so we can take to a minus three common from Buddha terms. So we have m plus t so twin minus three.

This question asks us to factory expression. We know that we can split up 23 and two 21 and two because these both have factors that would satisfy three and 14 consequence. Lee, for example. Seven satisfies us D plus seven, and then we have to depose 14. We can pull out D closer. In both of these, we have d plus seven, which means we know this one of our final factors. And then what's on the outside? Added together So three D plus two.

We're being asked the factor the given, Paulina. Well, remember, any time you're asked the factor, always look for a greatest common factor First, which in this case, there is none. Well, this is a try. No meal. Who's a term is not equal to one. So what we have to do is we're gonna multiply, are a time, see terms first. So we're gonna multiply three times. Negative 13 which is negative. 39. So we have to find factors of negative 39 that will add to that middle coefficient of negative 38. Well, the factors I'm thinking about our one and 39. So how will we get negative? 38. Well, if I let one be positive and 39 b negative, let's check while one times negative. 39 is negative. 39 1 minus 39 is negative. 38. Perfect. This is going to work. So what we're gonna do is replace negative 38 w with positive one w and negative 39 w. So when we do this, we're gonna have three w squared plus one w minus 39 W minus 13. And now we're gonna faster by grouping. So we're gonna look at the 1st 2 terms and find the greatest common factor, which in this case, is just W. So when we divide both turns by W, we're gonna be left with three w plus one. Now, let's look at our 2nd 2 terms and find their GC up. Well, the greatest common factor is negative. 13. So when we divide both terms by negative 13 we're gonna get three w plus one. Well, this is great, because now they both have this common factor of three w plus one. So I'm gonna factor that. Oh, and then my other factor will be W minus 13. And now we have factored our original try no meal come.

In orderto praise this expression. I will take the blue common. It'll read a blue square minus for on again. I will take three common From here. It would have blue square minus for So if I take the loose where minus for common I will be having the blue blustery so it can be fact risers w minus two w plus toe on the blue. Blustery. So these are the factors Are the given cubic expression. I hope it's clear. Thank you.


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