1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergiy2304 [10]
3 years ago
11

(x+1/x-1 - x-1/x+1 - 4x/x^2 +1) + 4x/x^4-1​

History
1 answer:
Lunna [17]3 years ago
7 0

Answer:

\frac{12x}{x^4-1}

Explanation:

Given

(\frac{x+1}{x-1} - \frac{x-1}{x+1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}

Required

Solve:

Take L.C.M of the first two fractions

(\frac{(x+1)(x+1)-(x-1)(x-1)}{(x-1)(x+1)} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}

(\frac{(x+1)(x+1)-(x-1)(x-1)}{x^2-1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}

(\frac{x^2+2x+1-(x^2-2x+1)}{x^2-1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}

(\frac{x^2+2x+1-x^2+2x-1}{x^2-1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}

Collect Like Terms

(\frac{x^2-x^2+2x+2x+1-1}{x^2-1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}

(\frac{4x}{x^2-1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}

Solve the expression in bracket

(\frac{4x(x^2+1) - 4x(x^2-1)}{(x^2-1)(x^2+1)} ) + \frac{4x}{x^4 - 1}

(\frac{4x(x^2+1) - 4x(x^2-1)}{x^4-1} ) + \frac{4x}{x^4 - 1}

(\frac{4x^3+4x - 4x^3+4x)}{x^4-1} ) + \frac{4x}{x^4 - 1}

(\frac{4x^3- 4x^3+4x +4x)}{x^4-1} ) + \frac{4x}{x^4 - 1}

\frac{8x}{x^4-1} + \frac{4x}{x^4 - 1}

Take LCM

\frac{8x+4x}{x^4-1}

\frac{12x}{x^4-1}

<em>The expression can not be further simplified</em>

You might be interested in
Knowingly making a false statement in print about someone else is known as
larisa [96]

Libel

Publishing false statements knowingly is referred to as libel. This differs from slander which is defamation of character expressed verbally.

Though the US constitution contains an amendment protecting freedom of the press, this amendment does not protect people from false information. The Supreme Court has not allowed people to report false information in particular about individuals that ruin their reputation or defame their character to be protected by the First Amendment.

5 0
3 years ago
Read 2 more answers
When do the new United States Air Force most serious problem​
AfilCa [17]

Answer:

I think Terrorism has been a challenge for the US because there have been some serious attacks that left many people dead.

8 0
3 years ago
PLS, ITS URGENT I WILL GIVE BRAINLIEST THINGY.
Aneli [31]

Answer:

:) Hope this helps

Explanation:

1. Freedom Riders were groups of white and African American civil rights activists who participated in Freedom Rides, bus trips through the American South in 1961 to protest segregated bus terminals.

2. The Freedom Riders encountered violence in South Carolina. On May 14, upon stopping outside Anniston to change a slashed tire, one bus was firebombed and the Freedom Riders were beaten.

3. The Riders were successful in convincing the Federal Government to enforce federal law for the integration of interstate travel.

4. He was an who rode buses through the South to challenge racial segregation.

3 0
3 years ago
Which two achievements were made during the Mauryan Empire?
shutvik [7]
<span>Technology and science ideas were also exchanged with Europe and West Asia. Because of the peace and tranquility that the Mauryan dynasty was experiencing, internal trade within the empire flourished as well. ... The trade and economy of the Mauryan dynasty was one of their most influential achievements.

Brainliest is appreceated :)
</span>
7 0
3 years ago
Read 2 more answers
A modern love story how does the author's use of exposition affect this story
shusha [124]

Answer:

what is the answer?

Explanation:

5 0
3 years ago
Other questions:
  • What does Hermes give Ulysses to resist her spell?
    11·1 answer
  • Discuess the differences and similarities between the house of representatives and the senate
    14·2 answers
  • One way in which the settlement at Jamestown (1607) and Plymouth (1620) were similar is that both- A.) were located in the Middl
    9·1 answer
  • Which of the following best states an interpretation of the Second Amendment?
    14·1 answer
  • Answer ASAP!! What is the answers to the question below?
    14·1 answer
  • Match each characteristic with its ideology.
    15·2 answers
  • Choose either Edward Lear or Lewis Carroll and write a brief paragraph on your choice of author.
    6·1 answer
  • during the renaissance from which of all the following cultures did the italians try to imitate their art from
    6·1 answer
  • Which event occurred last?
    5·1 answer
  • Why did the English civil war occur
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!