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
What battle started the Revolutionary War
Misha Larkins [42]

Answer:the American War of Independence, was initiated by delegates from thirteen American colonies of British America in Congress against Great Britain

Explanation:

8 0
2 years ago
Read 2 more answers
I need help asap! this escape room is terribly hard.
cluponka [151]

Answer:

Hello! Answer bellow.

Explanation:

3 + 2 = A = 5
3 + 1 = D = 4
4 + 5 = B = 9
5 + 4 = 9
2 + C = 5
C = 3

The code is 5934

5 0
2 years ago
7. What did Luther believe is the only source of Church doctrine?
Taya2010 [7]

He didn't beleave in the pope

4 0
3 years ago
Which statement best completes this diagram?​
podryga [215]

Answer:

i think d

Explanation:

6 0
3 years ago
What reason did Taney give for why he believed Dred Scott was an enslaved person
Svetradugi [14.3K]
Drett scott was considered property and the court can not take away property.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which sentence best describes the benefit of Australian ballots
    14·2 answers
  • What brought the Jamestown colony success?
    6·1 answer
  • Who wrote the Declaration of the Rights of Woman and the Female Citizen?
    5·2 answers
  • John Peter Zenger’s libel trial: resulted from his publication of news stories questioning the intelligence of the king. probabl
    9·1 answer
  • One of the powers the president has is the ability to
    12·1 answer
  • How many more presidents will the us have between 2016 and 2020
    15·2 answers
  • How did the Black Death affect<br> Europe during the Middle Ages?
    10·2 answers
  • While on a class tour to Rajasthan Aman asked his friend the reason why there are so less number of plants. What his friend woul
    14·1 answer
  • Why was Fort Sumter’s location important?
    11·2 answers
  • DIRECTIONS: Circle the best answer for each question.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!