write-each-rational-expression-in-simplest-form-and-list-the-values-of-the-variables-for-which-the-f

Question

Write each rational expression in simplest form and list the values of the variables for which the fraction is undefined.
$\frac{6}{10}$

Bahar Tehranipoor · Accepted Answer

want to write this rational expression and symbols form and then lets the values of variables for which distractions undefined. So very simply here we have six over 10. And because this is independent of any variable, always to do to simplify it is just take out the common multiples that has. So we have six, which we can write as three times two and we have 10 which we can write us five times to getting rid of the twos. We can simplify this completely as three over five, and now there are no values for any variables where this expression will be undefined because it&#x27;s not dependent on any variables.

Martha Richards · Answer

to write this expression here and simplest form, as well as provide the values for these variables. In this case, only a where this rational expression would be undefined. And so that means that the denominator would be equal to zero is when this would be undefined. So we just sat three a plus 15 equal to zero and Saul. So I subtract 15 from both sides, and then I divide by three, and I get that a is equal to a negative five would lead to this expression here being undefined. And then let&#x27;s produce this. So up top I see that I can pull out a two and I have a A plus five and then in the denominator, I have a three I can pull out, and I&#x27;m left with an A plus five. So these cancel out and I&#x27;m left with 2/3

Bahar Tehranipoor · Answer

in this question. What we&#x27;re gonna do is we&#x27;re going to simplify this expression, and we&#x27;re also gonna find the values of X where this function just doesn&#x27;t work. And usually how we do that is by look hands don&#x27;t make her go first. Let&#x27;s simplify. So what we&#x27;re gonna do is let&#x27;s just simplify the new writer first. Cool. It&#x27;s just easier to look at. We have four minus. We&#x27;re gonna have negative two times X minus two X and the negative two times negative one. It could be really easy to mess that up and put negative, too. But it&#x27;s actually me plus two. So that altogether comes six minus two x now, and it&#x27;s not. What we want to do is to factor that, because right now we can&#x27;t really see easily what&#x27;s gonna divide into expert my ass. Sex experts nine. But if we factor it, which will be X minus three squared, it&#x27;s easier to see what will divide into that. You can see. Ex ministry will divide into that and look at the new Raider six minus two X if you can catch it. If you multiply a negative to our fear factor that out, we will have negative two times X minus three over X minus three squared. And then if we divide out that, explain the street, we get negative to over X minus three. And now that is going to be the answer. And to find where this function is invalid always to do is say, where&#x27;s is no major zero If X minus two equals zero, that means X equals three. So we sent an ex cannot equal three for this function to be true over all the rest of values, and that&#x27;s it.

Bahar Tehranipoor · Answer

and this question. We want to simplify this expression and we want to find where the fractions undersigned. So first, let&#x27;s factor the numerator and denominator. Looking at the denominator, I think it&#x27;s just easier to dio we get six times. Why times Why the numerator? We can take out a three and a wife so they take out three wives. We have three y into nine. My squares school be three wine and then 3123 wise, just just one. So let&#x27;s divide out what we can do right out so I could disappear. And then with this three and six, we can divide that. So we&#x27;re just left with two. So all together we&#x27;re left with three. Why? Plus one overs We have this through a plus one of the numerator and the denominator. Since we divided out that three, we&#x27;re gonna have to whine. Now, where is this for action? Going to be undefined? Swear the Jin Ah mater equals zero. And that&#x27;s just one Y equals zero. So you see that why not equal zero

Bahar Tehranipoor · Answer

and this question. We want to simplify this expression, and we also want to find where it&#x27;s undefined. So first, let&#x27;s factor the denominator. If we do that, we put in the black worker they go, we get if we take a d l d times 15 minus 20 d, then the numerator. We just still have 10 D. Now we can see that there&#x27;s gonna be a multiple of five in both the numerator denominator. So let&#x27;s take that out. The factor. This we get five times to D and the denominator we have. If we take a five out, we have five times D taking out of 15. We get three minus and then 24. So you have three minutes 40. Let&#x27;s divide out five about the deed. We simplify it and we get to over three minus 40. Now to find with this is undefined. We look for where the dura mater zero in the original expression, So 15 D minus 20 d squared. We&#x27;re going to have the 1st 1 It&#x27;s easy to see is D cannot equal zero because that will have an undefined expression that we can set this denominator equal to zero and we&#x27;ll get that d equals through before where the equal zero. So that d cannot equal three over four because these will give us an owner&#x27;s zero, and that is your superfight expression.

Martha Richards · Answer

All right. So we&#x27;re asked to simplify this rational expression and also list the values of the variables for which this rational expression would be undefined. So the first thing I would do is find the undefined part, because once these things cancel, you can see these. They&#x27;re gonna cancel here. Then this will no longer have a denominator that cannot be zero. So what we have is is that we can&#x27;t have zero down here. So if 10 a is equal to zero than it is undefined and so then that means just the A equal zero is when this is this rational expression is undefined. And then now we can just redo. So when I have a five and the numerator and attending the denominator both these air divisible by five So this becomes one. And this becomes too. When you have two A&#x27;s above and one below, you can get rid of one and you keep just one, eh? So I&#x27;m left with in the numerator a be over too

Problem

Write each rational expression in simplest form a…

Problem 11 Easy Difficulty

Write each rational expression in simplest form and list the values of the variables for which the fraction is undefined.
$\frac{6}{10}$

Answer

$\frac{3}{5}$

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Ann Xavier Gantert

Algebra 2 and Trigonometry

Anna Marie V.

Kayleah T.

Maria G.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

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$\frac{3}{5}$

Algebra 2 and Trigonometry

Anna Marie V.

Kayleah T.

Maria G.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Anna Marie V.

Kayleah T.

Maria G.

Michael J.

Ann Xavier Gantert

Algebra 2 and Trigonometry