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J?r and =8-._"=8-1y =x[5 marks]Page 3 0f 4Jer -4x+3x ad y=r_x.J-r-41" +31y-r_x[5 marks]...

Question

J?r and =8-._"=8-1y =x[5 marks]Page 3 0f 4Jer -4x+3x ad y=r_x.J-r-41" +31y-r_x[5 marks]

J?r and =8-._ "=8-1 y =x [5 marks] Page 3 0f 4 Jer -4x+3x ad y=r_x. J-r-41" +31 y-r_x [5 marks]



Answers

$$ \frac{5}{y-9}+\frac{1}{y+9}=\frac{18}{y^{2}-81} $$

Today we are adding and subtracting fractions that involve polynomial in this case. We are going to be subtracting eight y minus 4/5 Y plus two minus six. And now I'm going to write it at 6/1. So that we have two fractions here and we can work with them by getting a common denominator. No we want to just use five Y plus two as our common denominator. So we're going to multiply the top and bottom over here by five Y plus two. Uh When we distribute out the six, we're going to be left with My boyfriend's to 30 Y plus 12 over are now common denominator of five Y plus two. And now that they have a common denominator we can simply add the numerator in this case subtract so eight y minus 30 Y. Is gonna be negative 22 Y. And the negative four minus 12 is negative 16. That's going to be over five Y plus two. Now it's not quite simplified yet. We can take a negative two out of the ant numerator. So if we do that, we're left with 11 y -8, sorry, plus eight over five Y. Those two. And that's going to be your final, fully simplified answer for this problem.

We're being asked to multiply the two given by no meals using the foil method. Well, remember the letters in the word Foyle tell us which terms to multiply. So let's start with the letter F that stands for the first terms, which in this case tells us to multiply. Why times? Why which is equal to Y Square. Next. The O stands for the outside terms, so we have to multiply. Why Times negative. Eight. Which is negative. Eight. Why the I stands for the inside terms So we have to multiply five times. Why? Which is positive? Five. Why and the l stands for the last terms. So we have to multiply five times. Negative eight, Which is negative. 40. Now to simplify, we have to combine any life terms. Well, our only light terms are the two middle terms. So we bring down the first term. Why squared? Then we combine negative eight y plus five Why? Which is negative three y and we bring down the last term minus 40. So our final answer is why

Gonna isolate this variable term here. So it's having five added to it. I'm gonna do the inverse of addition, which is subtraction. We're going to subtract five on both sides at least us with. Why? Over four on the left side. Negative 13 on the right side. Now I've got why. Divided by four. So I want to multiply by four. Because that's the inverse now got. Why equals negative? 52. That seems right. Okay. And you know how we're gonna check? We're gonna plug it back into here and see if we get negative eight. So I'll do negative 50 to over four plus five. And on my calculator, I'm gonna do 52 divided by four, and I get 13. So it's negative. 13 plus five, which is native eight. And that is what we had.

They begin by combining my terms. So we have, uh for why minus two. I use us to why and then native a plus five years. I stated three. You're gonna move things around. So move the Constitution aside. Let me how wise he quotes a three over. Is this true? You plan about in into the original equation. So you have four times three huffs, minus eight minus two times three have. That's five. Is that equal to zero? So four divided by two is 22 times 36 This took myself. So they have negative. Three plus five is that equal to zero 56 plus five is equal to a living native. Eight plus three is equals elements in it. Living. Um is that equal to zero? Yes. So why's he wants into the half is our answer. That's a


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