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

Get the answer to your homework problem.

Like

Report

Simplify each expression. In each case, list any values of the variables for which the fractions are not defined.$\frac{3}{2 x}-\frac{1+\frac{1}{x}}{x+1}$

$\frac{1}{2 x}, x \neq 0,-1$

Algebra

Chapter 2

THE RATIONAL NUMBERS

Section 6

Complex Rational Expressions

Fractions and Mixed Numbers

Decimals

Equations and Inequalities

Oregon State University

McMaster University

Harvey Mudd College

Lectures

01:32

In mathematics, the absolu…

01:11

01:50

Simplify each complex rati…

01:08

01:35

01:04

02:55

00:15

Build each rational expres…

01:49

02:01

03:59

Simplify each expression. …

01:46

record. Okay, so in this question, we are simplifying riel. The two x minus one plus one of Iraq's divide by X was one first of all. And this is a subtraction of two rational expressions with different denominators. So we should figure out the least a common denominator. The one fraction has 202 x d of the fraction has denominator X close one the least. A common denominator we can do will be just multiply two x What x When a rewrite Both of these two fractions us a fraction was two x times x plus one in the denominator. The first of new murder was originally three. Now we multiply by X plus one. The second fraction originally was one plus one over X asked new murder. Now we should have multiplied by additional two X. So we can tell that these two items the X close one and two X are the ones we need to multiply on the two new murders in words. It gets this least a common denominator in a bottle. All right, and then keep going. Let's keep two x times x Clause one as the common denominator. And let's simplify the Newburgh, so we have three times X plus one miners, one close one over x Times two x This is two X Times X plus one. We can keep this as the factor for Let's Simplify the numerator so three times. Accent three times once, so we have to react close to read minus one times two x that is two x and one of x times two x or x times two x As we can see, XX can reduce get into must. Okay, so let's retain the denominator as two x Times X plus one and let's go do the combining the light terms. So we have three x minus two x that is X, and we have three miners to that. It's plus one. Okay, so X plus one exports one could be reduced by, um X plus one. So we have 1/2 X as the final simplified form. Now, when this can be done, this can be done when these dominators are not equal to zero. So when two x is not equal zero and x close, one is not equal to zero. And of course, there is another fraction one of X so X cannot be easier. So the fresh inequality tells us X cannot be zero second inequality tell most ex kind of your negative one and thorough one just repeats this information so our ex cannot be zero, and it cannot be notable.

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 …

Simplify each complex rational expression. In each case, list any values of …

Build each rational expression into an equivalent expression with the given …

Simplify each expression. In each case, list any values of the variables for…

00:44

Rationalize the denominator and write each fraction in simplest form. All va…

05:53

In $13-24,$ divide and express each quotient in simplest form. In each case,…

01:14

In $3-29$ write each quotient in simplest form. Variables in the radicand wi…

00:55

In $3-38$ , write each radical in simplest radical form. Variables in the ra…

01:52

In $11-38,$ evaluate each expression in the set of real numbers.$$-\…

00:46

In $13-22,$ solve each equation or inequality. Each solution is an integer. …

03:00

In $27-39,$ factor each polynomial completely.$$4 a x^{2}+4 a x-24 a…

00:57

Show that the quotient of two irrational numbers can be either rational or i…

03:19

In $27-39,$ factor each polynomial completely.$$z^{4}-12 z^{2}+27

01:39

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.