Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Write each rational expression in simplest form and list the values of the variables for which the fraction is undefined.$\frac{4-2(x-1)}{x^{2}-6 x+9}$

$\frac{-2}{x-3}$$x \neq 3$

Algebra

Chapter 2

THE RATIONAL NUMBERS

Section 2

Simplifying Rational Expressions

Fractions and Mixed Numbers

Decimals

Equations and Inequalities

Oregon State University

Harvey Mudd College

Lectures

01:32

In mathematics, the absolu…

01:11

00:57

Write each rational expres…

01:42

01:09

02:00

00:33

00:55

02:12

01:52

01:00

00:36

Simplify each rational exp…

in this question. What we're gonna do is we're going to simplify this expression, and we're also gonna find the values of X where this function just doesn't work. And usually how we do that is by look hands don't make her go first. Let's simplify. So what we're gonna do is let's just simplify the new writer first. Cool. It's just easier to look at. We have four minus. We'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's actually me plus two. So that altogether comes six minus two x now, and it's not. What we want to do is to factor that, because right now we can't really see easily what's gonna divide into expert my ass. Sex experts nine. But if we factor it, which will be X minus three squared, it'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'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's it.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, the absolute value or modulus |x| of a real number x is its …

Write each rational expression in simplest form and list the values of the v…

Simplify each rational expression. See Example 4$$\frac{x^{2}+6 x+9}{2 x…

01:45

Perform the indicated operations and write the result in simplest form.$…

01:39

In $9-26,$ write each expression as the product of two binomials.$$y…

03:13

In $3-20$ , perform the indicated additions or subtractions and write the re…

00:51

A cookie recipe uses flour and sugar in the ratio of 9 : 4. If Nicholas uses…

03:32

In $3-20,$ solve each equation and check.$$\frac{7}{2 x-3}=\frac{4}{…

02:24

In $3-20,$ solve each equation and check.$$0.4 x+8=0.5 x$$

01:26

Write the solution set of each inequality if x is an element of the set of i…

01:30

In $13-22,$ write each decimal as a common fraction.$$0 . \overline{…

01:34

The width of a rectangle is 12 feet less than the length. The area of the re…

00:43

List the values of the variables for which the rational expression is undefi…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.