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

Answers

Answer 1

Answer:

[tex]\frac{12x}{x^4-1}[/tex]

Explanation:

Given

[tex](\frac{x+1}{x-1} - \frac{x-1}{x+1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}[/tex]

Required

Solve:

Take L.C.M of the first two fractions

[tex](\frac{(x+1)(x+1)-(x-1)(x-1)}{(x-1)(x+1)} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}[/tex]

[tex](\frac{(x+1)(x+1)-(x-1)(x-1)}{x^2-1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}[/tex]

[tex](\frac{x^2+2x+1-(x^2-2x+1)}{x^2-1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}[/tex]

[tex](\frac{x^2+2x+1-x^2+2x-1}{x^2-1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}[/tex]

Collect Like Terms

[tex](\frac{x^2-x^2+2x+2x+1-1}{x^2-1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}[/tex]

[tex](\frac{4x}{x^2-1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}[/tex]

Solve the expression in bracket

[tex](\frac{4x(x^2+1) - 4x(x^2-1)}{(x^2-1)(x^2+1)} ) + \frac{4x}{x^4 - 1}[/tex]

[tex](\frac{4x(x^2+1) - 4x(x^2-1)}{x^4-1} ) + \frac{4x}{x^4 - 1}[/tex]

[tex](\frac{4x^3+4x - 4x^3+4x)}{x^4-1} ) + \frac{4x}{x^4 - 1}[/tex]

[tex](\frac{4x^3- 4x^3+4x +4x)}{x^4-1} ) + \frac{4x}{x^4 - 1}[/tex]

[tex]\frac{8x}{x^4-1} + \frac{4x}{x^4 - 1}[/tex]

Take LCM

[tex]\frac{8x+4x}{x^4-1}[/tex]

[tex]\frac{12x}{x^4-1}[/tex]

The expression can not be further simplified


Related Questions

The idea that those contemplating crime won't commit the crime due to fear of punishment is called

Answers

Deterrence
Explanation: Deterrence in crime is the idea that those contemplating crime won't commit the crime due to fear of punishment.

ASAP TIMED HELP

Based on the passage and what you know about
prefixes and roots, what does the word inspiration
mean?
FLORENCE GRIFFITH-JOYNER: Wilma Rudolph was
my inspiration as far as athletes were concerned.
Muhammad Ali. But my parents were my role models
back then, and they still are, because I looked up to them.
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- The Hero Project,
Robert Hatch and William Hatch
something that makes you tall
something that brings a spirit or idea in you
O something that causes you to spread ideas
O something that causes you to spread enthusiasm

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Answer:

Its B

Explanation:

I did the assignment on edge 2022

Answer:

B

Explanation:

edge 2022 for the assignment

Describe the fighting on Okinawa.

Answers

Answer:

The Battle of Okinawa began on April 1, 1945 with the American invasion of the Japanese island of Okinawa and ended on June 30, 1945. From the Japanese perspective, Okinawa was the last line of defense to stand in the way of an Allied invasion of the main Japanese islands. Accordingly, the Allies planned to use Okinawa for air support for the planned invasion of the main islands.  The fighting ended with the capture of the island by American troops. More than two-thirds of the Japanese defenders died in the course of the battle. There were also high casualties among the civilian population and on the American side. But it was also the first time that Japanese soldiers surrendered by the thousands.

How did the people overcome the challenge of farming along the Tigris and Euphrates rivers?
A. They developed tractors to plow the land and pipes for irrigations.
B. They waited for the rainy season.
C. They irrigated their crops and controlled the flooding with canals.
D. They took over other people's land.

Answers

Answer:

C

Explanation:

they used the water from the rivers to help grow there crops

A) Do you think Hamilton ended up getting more out of the agreement than Jefferson and Madison? Use details from the scene to
support your answer. B) Does Burr care about the outcome of the agreement, does he side with Hamilton or Jefferson? Explain.

Answers

Answer:

YES DEFENTILY.

Explanation:

YES burr cares about the aggrenment

(A)"Hamilton ended up getting more out of the agreement than Jefferson and Madison" is the correct statement.

(B) Burr is concerned about the outcome of the arrangement; and he supported Hamilton or Jefferson.

What was Compromise of 1790?

The Compromise of 1790 was a compromise reached by Alexander Hamilton, Thomas Jefferson, and James Madison in which Hamilton gained the choice for the national government to take over again and pay the state debts, while Jefferson and Madison got the South's national capital (District of Columbia).

This accord broke the stalemate in Congress. Southerners had been obstructing the Treasury's acceptance of state obligations, damaging Hamilton's blueprint for constructing a fiscally robust federal government. Northerners rejected Virginians' plan to place the permanent national capital on the Virginia-Maryland line.

This sowed discord among the Federalists, allowing Jefferson and Burr to win the election with 73 electoral votes apiece.

The right sentence is, "Hamilton ended up receiving more out of the arrangement than Jefferson and Madison." Burr is apprehensive about the conclusion of the deal, and he backed either Hamilton or Jefferson.

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List two ways how the Shang Dynasty helped to form China,

Answers

Answer:

the invention of writing; the development of a stratified government; the advancement of bronze technology; and the use of the chariot and bronze weapons in warfare.Explanation:

Which one did NOT help news of British actions spread from colony to
colony?

Answers

Answer:

see explanation

Explanation:

you

you didn't add choices

I was the British army better train and equip than the continental army?

Answers

Answer:

Yes. The British army had years of experience and had adequate uniforms, weapons, etc. The Continental Army were, as a whole, ill-trained and ill-equipped. Many didn't know how to properly serve in the military.

Read the claim from a student’s argumentative essay. Homework is a valuable part of a student’s education. Which reason most effectively supports the claim? Students and parents misunderstand the purpose of homework. Homework helps students improve their time management skills. Many schools require teachers to assign a minimum amount of homework. Teachers prefer to reduce the amount of homework they assign to students.

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Answer: The answer is B

Explanation: brainliest im trying to level up

Answer:

B

Explanation:

4
The belief that bodies of water, animals, trees, and other natural objects have spirits is known
as....
O A. Ancestor worship
O B. Animism
O C. Agnosticism
O D. Altruism

Answers

Answer:

Animism

Explanation:

The answer is B. Animism which is a religion where they worship animals and other nature things!

In what art movement was the Portrait of the Copley Family by John Singleton Copley made?

Answers

Answer:

Correct answer is Realism.

Explanation:

John S. Cooper can be seen as a father of American realism. Most of his works were portraits, and among them was the one mentioned in here. He was living in Boston, but moved to London before the war, and some of his works are even influenced by the Romantic movement.

Document D
How can you use this document to argue that Alexander was great?

Answers

Answer:

Using this document, argue that Alexander was “great”. Alexander was “great” because he was smart enough to cross the river and use Porus' own elephants against him. Alexander also was noble because he was so impressed by Porus' bravery that he let him continue ruling after his defeat.Explanation:

I know this one my teacher tech me that.

which country created the first the republic government?

United States
Rome
Greece
England

Answers

Rome created the first republic government

What was a result of the efforts of John Steinbeck, Dorothea Lange, and Woody Guthrie?
Fewer Americans felt sympathetic toward migrants.
More Americans decided to become migrants.
More Americans became aware of the problems of migrants.
Fewer Americans became unemployed.

Answers

Answer:

More Americans became aware of the problems of migrants.

Explanation:

John Steinbeck, Dorothea Lange, and Woody Guthrie were all immigrants to America and their works in various ways highlighted the problems facing immigrants.

For instance, Woody Guthrie write a song which mirrored the racial injustice faced by passengers before and after a plane crash.

Their efforts made more Americans become aware of the problems of migrants.

C. More Americans became aware of the problems of migrants.

edge2021

How does a lack of infrastructure most likely affect poverty in rural India?

A.) It has no effect on poverty because these areas do not need these systems and facilities to provide food and
employment.

B.) It decreases poverty because these areas turn to relying on systems and facilities of nearby countries.

C.) It increases poverty because access to food and employment depends on reliable infrastructure.

D.) It ends poverty because outlying communities become self-sufficient when they don't rely on infrastructure.

Answers

Answer:

c

Explanation:

edge 2021

A lack of infrastructure most likely affect poverty in rural India as it increases poverty because access to food and employment depends on reliable infrastructure.

Infrastructure

Infrastructure in Indian cities is still inadequate, and this is not because Indian cities are poor. An infrastructure is either the physical structures needed for a society to function, or the services and facilities needed for an economy to function. So if the infrastructure is missing, that means that all the things that a society needs to function doesn't exist.

Affect on poverty

Infrastructure is the backbone of any country, generating jobs, improving the quality of life for the poor and boosting economic growth. The lack of infrastructure in poor communities significantly impacts the lives of the people living in these communities. Poor infrastructure examples include dilapidated classrooms, pit toilets and other damaged school infrastructure.

Thus, a lack of infrastructure most likely affect poverty in rural India as it increases poverty because access to food and employment depends on reliable infrastructure.

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What did the labor strikes have in common?

Answers

Answer:

The labor strikes have in common is discussed below in details.

Explanation:

Strike action, also designated labor strike, labor strike, or absolute strike, is a work stoppage, created by the majority refusal of operators to work. A strike normally takes the position in acknowledgment of employee complaints. Strikes became prevalent throughout the Industrial Revolution when the majority of labor became essential in industries and mines. and if talks fails violence occurred.

Which argumentative statement is a claim of definition

Answers

Answer:

The answer is a ( people who do their research before voting are informed citizens.

Explanation:

I don't know how to explain

Which statement best explains the influence of the English Bill of rights on the U.S government?

Answers

Answer:

The English bill of rights promoted a form of government where the rights and freedom of individuals were protected.

Explanation:

One example can be is the 1791 Bill of rights that protects freedom of speech and protection from cruel punishment.

How did bleeding Kansas impact native Americans

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Between roughly 1855 and 1859, Kansans engaged in a violent guerrilla war between pro-slavery and anti-slavery forces in an event known as Bleeding Kansas which significantly shaped American politics and contributed to the coming of the Civil War.

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List five questions that you have about inauguration as it is taking place.

Answers

Answer:

:)

Explanation:

Why did they use 3 different flags during the inauguration?

Does everyone get sworn in by the bible? What if someone doesn't beilive in god, what do they do?

Does the chief justice of the United States always administer the oath?

How many inaugural balls are there?

How much does the inauguration cost?

Are the concepts presented in East asian ideologies presented in class closer to a religion or a philosophy?

Answers

Answer:

The concepts presented in East Asian ideologies presented in class closer to a religion or a philosophy is discussed below in detail.

Explanation:

Since the 'development' of eastern belief by western investigators and learners in the 18th and 19th centuries CE, there has been an absolute division managed, particularly in institutes and universities, among 'western philosophy' and 'eastern philosophy' as though these two arrangements impersonate radically contrasting pictures of the world. There is no distinction between eastern or western opinion when it comes to the most basic issues of what it intends to be a human being.

What was the turning point of World War II in the Pacific? Explain in detail

Answers

Explanation:

The turning point in the Pacific war came with the American naval victory in the Battle of Midway in June 1942. The Japanese fleet sustained heavy losses and was turned back. (hopefully this helps(

Since Europeans lacked the resources to travel inland to seize slaves, they relied on African rulers and traders to bring captives to coastal trading posts.
A
True
B
False

Answers

Afalse I’m pretty sure it’s a

Which of these statement BEST explains Spain's principal reason for colonizing the "New World"?
A)
Spain was inspired by scientific curiosity.
B)
Spain's citizens desired to settle elsewhere.
C
Spain wanted to maximize its economic profits.
D)
Spain desired to spread the power of the Catholic Church.

Answers

C.
Gold, silver, and other profitable ventures was the primary motivation.

Spreading Spanish culture and Catholic faith was secondary.

Spain wanted to maximize its economic profits, which explains Spain's principal reason for colonizing the “New World”. Thus, option C is correct.

What is colonizing?

Colonizing can be defined as the moment when the people were immigrating from their country to a different country and settling in that nation. Also using the resources that are available in that country.

Spain wanted to increase their profit as well as their revenue with the help of gold and silver, which will help in their economic condition, which would be taken from the Americans as well.

Additionally, Spain sought to evangelize Native Americans and make them follow their religion. They also gave them good living conditions that would attract more people to settle in their country. Therefore, option C is the correct option.

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which of these do u think was the best way of reducing the debt:
a) increase taxes
b) reducing the government's spending or
c) borrowing more money​

Answers

Answer:

B

Explanation:

What is a “strict constructionist” view of the Constitution?

Answers

Answer:

Strict constructionism is a legal theory applied in American law by means of which a restricted interpretation of the Constitution of the United States and the clauses, rights and prerogatives that it establishes in its articles is defended.

Thus, this position adopts a conservative interpretation of the constitutional text that, although it does not become textual, does restrict the possibility that the judges make analogies or another type of interpretation of an expansive nature on the precepts established in the Constitution.

Explain why there was a succession crisis after Edward the Confessor died in 1066.
You may use the following in your answer:
The Witan​
William of Normandy

Answers

Answer:

Due to no children of Edward the Confessor.

Explanation:

Edward the Confessor died in 1066 having no children which sit on his throne which leads to succession crises. The throne was seized by his leading aristocrat, Harold Godwinson and he became the king of England.  With this act, he faced two wars, one from the king of Norway, Harald Hardrada and the other from William, Duke of Normandy. Harold defeated the Norwegian but he was defeated and killed at the Battle of Hastings.

Some people criticized the use of atomic weapons by the United States in
Japan as:
A. a measure unlikely to convince Japan to surrender.
B. a demonstration of power designed to impress the Soviet Union.
c. a measure designed to warn Great Britain against seeking
colonies.
D. a demonstration of technological power designed to impress
Germany.

Answers

Some people criticized the use of atomic weapons by the United States in Japan as a demonstration of power designed to impress the Soviet Union. The correct option is B.

Who authorized the use of atomic weapons on Japan?

President Truman gave the go-ahead to deploy the atomic bomb anytime after August 3, 1945, after Japanese leaders vehemently rejected the Potsdam Declaration. The Little Boy atomic bomb, the first of its kind, was dropped on the city of Hiroshima on the clear morning of August 6.

Some people criticized the use of atomic weapons by the United States in Japan as a demonstration of power designed to impress the Soviet Union because the use of atomic weapons was seen as an unnecessary escalation of the war that would cause massive destruction and civilian casualties.

Additionally, the Soviet Union was a growing global power, and the use of atomic weapons was seen as a message to the Soviet Union that the United States was willing to use its technological superiority to exert its dominance.

The use of atomic weapons was controversial, and many people believed that it was not necessary to end the war, as Japan was already on the brink of surrender.

Thus, the ideal selection is option B.

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What forms of government exist or have existed in human history?

Answers

Answer:

Basic forms of government

Power source

Democracy

Oligarchy

Autocracy

Anarchism

Explanation:

i hope this the right answer

How were the struggles for women's suffrage in Britain and America similar and different Was the use of militant action effective in achieving the goal of woman suffrage? Explain.​

Answers

Answer:

Suffragists in both nations formed organizations to win the vote and achieved their goals gradually, with some militant protests as part of their approach. Adult women in America achieved their goal in 1920; British women of that age not until 1928. The success of the militant group was not achieved until the end of World War I, but it did call attention to their goals.

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