Simplify the following expression_J v6+pdt (Hint dxW + 42 dt= MPat+ J 1+Fat) J6 + +2 dt=m...

Simplify the given algebraic expressions. $$-7(6-3 j)-2(j+4)$$

Big equation here. So we're gonna split this up into two different parts. We're gonna focus on this bracketed bit festival. Um, okay, so you start fact arising here, so there's three J plus to stay the same. Um, should check. I wrote this question done right? Yep. All right. Um, just a Cuban honest risk word will take out factor, J squirt. Don't know that's actually going to be desirable, but, um I think, yeah, um, we'll take out Sergeant J Square, so, yeah, for now. And that's to me, J minus one. And then hopefully this quadratic appear has a factor of J minus warn. Um, I guess we'll see. That's all over. J, um, is gonna be, ah, a bit annoying. Solve. Maybe, but we'll see on then. Hopefully this is J minus nine, which is okay, So the J minus one is gonna council here, but I think that's pretty much all that's gonna cancel for now on. And then we turned it together. Are too numerous to denominators to get a new to numerator and denominator, respectively. That's three J force to, um J minus nine on D j. Cubed on the bottom. Okay. And that's gonna be divided by this Over here. Don't bring this down. And whilst we're doing that, we gonna fact arise this quadratic appear and what you're gonna hope it has a factor off three J plus to which it doesn't. Actually, um, it should have a factor of J minus nine. Mellow. In that case, him and the other one would be four j, um, plus one, I think. Yeah. For Jefferson, for J minus one. Say they go. All right, so you fact, arise that, okay? Going to school down a bit. And we got a new equation here to yourself. Oh, sorry. God knew a creation itself, and it's gonna be a little easier to make it even easier. We're gonna change this division into a multiplication and the second fraction upside down there looking the exact same numerical value to the equation, but put it into a form that's a little easier. First this off. Um, I'm going to keep this other one the exact same J minus and nine for J minus one. We're gonna towns across here are too numerous Islamic denominations like it did earlier. Things are gonna start canceling now. We're gonna cancel these, Jame Madison, nine. It's not supposed t j cute. I think it might be. Yeah. Okay. Yeah. This is actually I've read this double on this, but BJ Cube, which means acts actually going council as well. Remember that. I'll just leave a want on it up on the bottom here. Andi, I think we're pretty much doing we just after times these across. Now, we're gonna be happy for J minus while on the top and three j 1st 2 on the bottom. And that's the answer. If you have any questions or any of that, feel free to email me, daniel dot jp Hates. Don't know at gmail dot com. Thank you very much for listening, and I wish you the best stories.

Were given the following expression, and we need Yeah. So we're going to first simplify what's inside the parentheses. And I'm also going to factor the top of the first fraction first or J. Why? Time J minus five all over G. Divided by the top of the first fraction inside the parentheses. Stays three J plus two bottom of the frame. Common denominator of J. So I'm going to pull out the J J squared. They swear to J Square get J minus one time. The second fraction in the parents breaks up into J minus five times J minus one all over. Okay, we're going to simplify what's important first. Yes, part of the problem, spaces. No, but by over here at the J minus, one in the top fraction in the bottom part can't out. And we're left with three J plus two on the sometimes J minus five all over. Jake, you. So now we apply the rule for fractions. Fractions. When you're dividing them, fraction stays the same. Okay, so the first fraction is going to stay for J minus one times J, minus five over. Jake, you division becomes multiplication, and then we have Jake, You put on the top of the fraction over. Really? Us too. Times J minus five. So, just like before. What? The Internet? Ah, multiplication, right? Buy and can Can the J cubes cancel out J minus five cancelled out and we're less four J minus one on the top of the fraction divided by three J plus two on the bottom of the track. The simplification of this problem is for J minus one, divided by three j plus.

Okay, So to start this, um, problem, I'm going to disagree the negative first. So I'll have J squared plus 18 j plus two. And then now, when I just should be the negative all have plus seven j squared and then minus six j and then minus two. So now I just have to combine my leg terms. So I have j squared plus seven j squared. So that'll be eight j squared, and then I have 18 j minus 16 j. So that will be plus 12 j, and then I have to minus two goes to drop out. So my final answer here is gonna be a J squared plus 12.

In this question it is told that we have to simplify the given collectors here. And that is in the first one we have alright minus three D. And let 7K. And we have subtracted twice. So bye bye. And That's a day and -2 games. So I'm going to simplify it. We can see that we got here four I minus three day, last seven K. And multiply by minus two here. So we got minus 10 I minus two day and plus four K. Now you can see that that is I common multiple yet. So Write it as a common multiple. So we get 4 -10. Similarly in this part we have day as a common multiple. So after taking J as a common multiples I remain with -3 and -2 and further After taking care of the common multiple we remain with 7-plus 4. And after simplifying it we can see that we got here -6 I -5 days And plus 11 kids. So this is the answer of the given question here. Okay thank you.