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
Bezzdna [24]
2 years ago
12

Simplify expression X^2+x-2/x^3-x^2+2x-2

Mathematics
1 answer:
professor190 [17]2 years ago
7 0

Answer:


=\frac {x+2}{x^2+2} is the simplest form of given expression.


Step-by-step explanation:

The given question is \frac{x^2+x-2}{x^3-x^2+2x-2}


To solve the problem we have to group or split middle term and then factorise


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


Taking x^2 common from first two terms of denominator and 2 from next two terms


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


Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms


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



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


Now cancel out x-1 from both numerator and denominator we get


=\frac {x+2}{x^2+2} is the required simplest form.



You might be interested in
If a truck averages 12 miles to the gallon, how many pounds of carbon dioxide are emitted into the atmosphere when the truck tra
77julia77 [94]

Answer: 278.30 pounds (if the gasoline does not contain ethanol)

317.12 pounds (if the gasoline does contain ethanol)

Step-by-step explanation:

If the truck averages 12 miles per gallon, then in 170 miles it consumes:

170mi/12mi = 14.17 gallons.

We know that for one gallon consumed, the carbon dioxide emitted into the atmosphere is 19.64 pounds. (assuming it does not contain ethanol)

Then for 14.17 gallons consumed, we have a emission of:

14.17*19.64 pounds = 278.30 pounds

I the gasoline contains ethanlol, for a gallon the emiision is around  22.38 pounds.

In this case the total emission is:

14.17*22.38 pounds = 317.12 pounds

3 0
3 years ago
Let a is in {−3, −1, 0}. Evaluate −a for each element of the set.
12345 [234]
Ok so a∈{-3,-1,0}. then just {-3*-1,-1*-1,0*-1} which comes to  {3,1,0}

7 0
3 years ago
The function y=ex is vertically stretched by a factor of 2, reflected across the x-axis, and then shifted down 3 units, find the
Anettt [7]

Answer:

y = - 2 e^{x} - 3

Step-by-step explanation:

We have to vertically stretch the function y = e^{x} by a factor of 2.

Then the function will become y = 2e^{x}.

Then it is reflected across the x-axis.

So, the new function will be y = - 2e^{x}.

Now, if the function is shifted down 3 units then the final function will become y = - 2 e^{x} - 3 (Answer)

6 0
3 years ago
Four friends share 3 fruit bars equally. what fraction of a fruit bar does each person get?
oee [108]

Answer:

3/4


Step-by-step explanation:


7 0
3 years ago
Help me i got 10 math question plz help 1st one
NISA [10]
1. a 

2. 6 tps baking powder. For every 3, there is two. 3 multiplied by 2 is 6.

3. 12/8 = 1.5 seedling per minute in 70 minutes...
1.5 * 70 = 105 seedlings can be planted in 70 minutes

4. idk sorry

5. time = distance / speed
time = 300/15
time = 20 hrs


7. The ratio between 12 and 8 is 1.5, so you need to divide every other number by 1.5.
2/1.5=1.3

9/1.5=6

18/1.5=12

8. So, problem statement tells you that 1lb = 16oz and that 1oz = 28.3g. That means that 1lb = 16 * 28.3g = 452.8g

You have three items, convert their weights to grams:
1) 800g
2) 1.6lb = 1.6 * 452.8g = 724.48g
3) 30oz = 30 * 28.3g = 849g

So, sorting from greatest:
3, 2, 1, or: 30oz, 1.6lb, 800g.

9. 5•7=30

10.it will clean 7 cars in 56 minutes
hope this helps and i hope its not confusing
4 0
3 years ago
Read 2 more answers
Other questions:
  • the midpoint of kl is m(4.8, -7.8). one endpoint is l(0.6, -5.6). find the coordinates of the other endpoint k.
    13·1 answer
  • Write the equation of the line in point-slope form that passes through the given point with the given slope (1,5); m = -3
    9·1 answer
  • Given f(x)=3x-1 and g(x)=2x-3, for which value of x does g(x)=f(2)?
    8·1 answer
  • Find the difference of the two polynomials : (2t^3 + 3t -4)-(4t^2 - 6t)
    13·1 answer
  • Factorise: 2x² -7x -4
    7·2 answers
  • A school day starts at 07:15. There are three periods of 40 minutes, four periods of 35 minutes and two periods of 50 minutes. T
    11·1 answer
  • Yesterday my family caught a largo fish. We ate 2/6 of the fish. Today we eat 2/4 of the fish. Told my motores that we ate more
    6·1 answer
  • What type of solution does the system of linear equations have?
    13·2 answers
  • Need help ASAP!!! A physicist discovers an element whose atom has a mass of 0.00000000000000112 grams. He makes an entry in his
    6·2 answers
  • Find the surface area of the cube (above) using its net (below).
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!