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In Exercises $1-62,$ perform the indicated operations and simplify your answer as completely as possible.$$ rac{y^{2}}{4 y}+ rac{2 y}{4 y}$$...

Question

In Exercises $1-62,$ perform the indicated operations and simplify your answer as completely as possible.$$ rac{y^{2}}{4 y}+ rac{2 y}{4 y}$$

In Exercises $1-62,$ perform the indicated operations and simplify your answer as completely as possible. $$\frac{y^{2}}{4 y}+\frac{2 y}{4 y}$$



Answers

In Exercises $1-62,$ perform the indicated operations and simplify your answer as completely as possible. $$\frac{y^{2}}{4 y}+\frac{2 y}{4 y}$$

Okay, so this is a questions about Paulino me. Um and we have to subject subject to y squared minus six white mice to from minus four Y square minus tree. Wipe us. So let's see how we do it. So first we have to remove all the apprentices. So for the off for the first plant is if we just remove it because there's a plus you. So we just remove it. So we get it here. And the second polynomial desert minus. Sign here. So we have to multiply a minus one. Yeah, so? So we have to multiply minus one in tow. TheStreet comes and we get my ass too. Why? Square minus six time months. One week get plus six. Why my story? Time minus one. We get pass too. And we have to at them, you know, for the light term. So this term minus four White Square and must Huy Square at, like terms. So I just used another up Another color of pen tour Remind myself So my street, I am past six wife. And lastly plus it and bus tour. So we have to We have to at the light. Trump's so much. Four square minus two Wise plaice minus two white square If you get minus six white square and minus tree white plus six. Why we get past tree y plastic? Plus, do we get past 10? So this is the finance, sir. Okay. Thank you for washing.

So in this problem, we're simplifying down. Why? To the 1/4 times wide to the, um, 1/2. Plus two. Why? To the power of 3/4. So we're basically multiplying this term to this polynomial. So this means we're going to have to use the distributed properties is gonna be a big part of this problem. The street beautif prop her t So bar reason, distributed property. So we have this term outside this princey where the polynomial lies, and and that means this term needs to be multiplied to both of the terms in this polynomial. So why today? One for fourth needs be multiplied toe y toothy one half. And why to the 1/4 also speak Multiply to to times wide to the 3/4. All right, now let's get to it. So first, I'm just going Teoh, I'm not going to solve it out completely, but I'm just gonna place it in apprentices. So we have wide to the one Ford Times. Why? To the one half plus why? To the 14 times two wide to the 3/4. So now that we know that we're going to use our exponents rules. So we have this one. So and in both of these, we're just going to add the exponents. That's how exponents rules work. So I'll just demonstrate it out and ride. So if we have what? So if you have white to the 14 times y to the one half, that basically means why to the 1/4 plus wine half. And we have to simplify down the exponents. So be wide to the 1/4 plus so we can just add those together. We have to simplify one half times same denominator, which basically be to over four. That's going to give us wide to the 3/4. So this part, we got this answer now for looking at this part so we can disregard the two. We're not really gonna worry about the to as much. I mean, we're gonna add it in later, but we're not gonna worry about it when we're trying to look at the exponents rules we have. Why today? One for it, plus 3/4. So we have these two to worry about, and that's just simply going to give us why to the first and we know that just basically equals good old. Why? So that means we get why, as our answer here. And if we add on the to. So if I erase the red mark here, Sophie, Adam out on the to that's just gonna mean you get to Why instead? So if you put that all together, that's going to give us wide to the 3/4. Plus two. What? As our final answer. So this is a final answer again. It's wide to 3/4 plus two. I

All right, so we're gonna subtract. Why? From Wai scored mice for y plus one, my squared minus four. Why? Plus one? Subtract that wise. Really? Those parentheses aren't doing much. Let's get rid of him. Because we're just subtracting one term anyway. Um, so why squared does not have any, like terms. There's no other y squared, is there? However, we do have a negative for y and a negative. Why, that could be combined together to make negative five. Why? And then we also have that, uh, close one right here. So there we go. Why? Square minus five wide plus one is what you get when you subtract. Why? From my squared minus four y plus one.

In discussion. We have to simplified are given explosion right less One do I did by lying minus new a minus bi minus one. Yeah, I did buy y minus four. Now it combined the reflections Life I linger on one. Your nominator That is white. This one You. I did by y minus True market Rabbi rule divided by U minus Y minus one. You already but white minus four. So on simply Vanga First election. Bigger room. I did not write this one. You write it by no light minus four. Minus my minus one. Divided right by minus. Or now, on combining the university does bigot y last three You are did by why u minus


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