$MathMaster logo$

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 limit of the product of two functions as x approaches a? (

+

What is the vertex form of a parabola function with a vertex at (2, 3) and a positive leading coefficient?

+

What is the result of multiplying a vector with magnitude 3 and direction 30 degrees by a vector with magnitude 5 and direction 120 degrees?

+

New questions in Mathematics

How to find the value of x and y which satisfy both equations x-2y=24 and 8x-y=117

calculate the derivative by the limit definition: f(x) = 6x^3 + 2

Find two natural numbers whose sum is 230 and their difference is 10. Set up the system and solve it.

-442/c+5=26 what is c?

Suppose that a device has been created that launches objects at ground level and that its operation is modeled by the function h(x) = -4×² + 256x, with h being the height (in meters) and x being the distance (in meters) What is the maximum height that the object reaches?

Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6

Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places

Determine the momentum of a 20 kg body traveling at 20 m/s.

Estimate the fifth term if the first term is 8 and the common ratio is -1/2

Convert 78 percent to a decimal

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 vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 60% of the people get vaccinated. If a person is selected at random from this region, find the probability that he or she will contract the disease. (4 Points)

Use a pattern approach to explain why (-2)(-3)=6

Congratulations, you have saved well and are ready to begin your retirement. If you have $1,750,000.00 saved for your retirement and want it to last for 40 years, and will earn 10.8% compounded monthly: What is the amount of the monthly distribuion? 216.50 How much interest is earned in retirement?

For what values of m is point P (m, 1 - 2m) in the 2⁰ quadrant?

Associate each 2nd degree equation with its respective roots. A) x2+6x+8=0 B)x2-5x-6=0

The average undergraduate cost per tuition, fees, room, and board for all institutions last year was $26,025. A random sample of 40 institutions of higher learning this year indicated that the mean tuition, fees, room, and board for the sample was $27,690, and the population standard deviation is $5492. At the 0.05 level of significance, is there sufficient evidence that the cost has increased? (Remember to follow the steps in hypothesis testing)

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).