$MathMaster logo$

MathMaster

Home
general
perform the indicated operation x over x2 1 minus 3 over x2 2x 1

Question

Perform the indicated operation X over x2-1 minus 3 over x2-2x+1

215

likes

1075 views

Answer to a math question Perform the indicated operation X over x2-1 minus 3 over x2-2x+1

$Expert avatar$

4.6

110 Answers

Apply the fraction rule $\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

$=\frac{x(x-1)-3(x+1)}{(x+1)(x-1)^{2}}$

Simplify $x(x-1)-3(x+1):{\quad}x^{2}-4x-3$

$=\frac{x^{2}-4x-3}{(x+1)(x-1)^{2}}$

Frequently asked questions (FAQs)

What is the sum of the measures of the interior angles of an isosceles triangle if one angle is 80 degrees?

+

Question: What is the derivative of f(x) = 3x^4 + 2x^3 - 5x^2 + 7x - 9 with respect to x?

+

What is the value of 5 raised to the power of 3, minus 2 raised to the power of 4?

+

New questions in Mathematics

A drawer contains three pairs of white socks, five pairs of black socks and two pairs of red socks. Caden randomly selects two pairs of socks on his way to the gym. What is the probability that both pairs of socks are black?

Divide 22 by 5 solve it by array and an area model

how many arrangements can be made of 4 letters chosen from the letters of the world ABSOLUTE in which the S and U appear together

Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?

A construction company is working on two projects: house construction and building construction. Each house requires 4 weeks of work and produces a profit of $50,000. Each building requires 8 weeks of work and produces a profit of $100,000. The company has a total of 24 work weeks available. Furthermore, it is known that at least 2 houses and at least 1 building must be built to meet the demand. The company wants to maximize its profits and needs to determine how many houses and buildings it should build to meet demand and maximize profits, given time and demand constraints.

5.- From the probabilities: 𝐏(𝐁) = 𝟑𝟎% 𝐏(𝐀 ∩ 𝐁) = 𝟐𝟎% 𝐏(𝐀 ̅) = 𝟕𝟎% You are asked to calculate: 𝐏(𝐀 ∪ 𝐁)

solve for x 50x+ 120 (176-x)= 17340

What is 28 marks out of 56 as a percentage

A circular window has a rubber molding around the edge. If the window has a radius of 250 mm, how long is the piece of molding that is required ? (To the nearest mm)

Exercise 1 An ejidal association wishes to determine the distribution for the three different crops that it can plant for the next season on its available 900 hectares. Information on the total available and how many resources are required for each hectare of cultivation is shown in the following tables: Total available resource Water 15,000 m3 Fertilizer 5,000 kg Labor 125 day laborers Requirements per cultivated hectare Corn Soybeans Wheat Water 15 25 20 Fertilizer 5 8 7 Labor** 1/8 1/5 1/4 *The data in fraction means that with one day laborer it will be possible to care for 8, 5 and 4 hectares respectively. * Sales of crops 1 and 3, according to information from the Department of Agriculture, are guaranteed and exceed the capacity of the cooperative. However, soybeans must be limited to a maximum of 150 hectares. On the other hand, the profits for each hectare of crop obtained are estimated at: $7,500 for corn, $8,500 for soybeans and $8,000 for wheat. The objectives are to determine: • How many hectares of each crop must be allocated so that the profit is maximum. R= • The estimated profits for the ejidal cooperative in the next growing season. R=

A company receives sales in $20 per book and $18 per calculator. The per unit cost to manufacture each book and calculator are $5 and 4$ respectively. The monthly (30 day) cost must not exceed $27000 per month. If the manufacturing equipment used by the company takes five minutes to produce a book and 15 minutes to produce a calculator, how many books and calculators should the company produce to maximise profit? Please solve graphically and

From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539

The question is using rule 72 determine Kari wants to save 10,000 for a down payment on a house. Illustrate the difference in years it will take her to double her current 5,000 savings based on 6%, 12% and 18% interest rate .

Solve the following 9x - 9 - 6x = 5 + 8x - 9

-6 - t / 4 = -1

Find the orthogonal projection of a point A = (1, 2, -1) onto a line passing through the points Pi = (0, 1, 1) and P2 = (1, 2, 3).