Expand [tex](x-\frac{1}{x})^{1\\2}[/tex] , simplifying the coefficients
the right answer is [tex]x^{5}-5x^{3}+10x-\frac{10}{x} +\frac{5}{x^{3} }-\frac{1}{x^{5} }[/tex]
but i can't work it out
PLEASE HELP!

Answers

Answer 1

Answer:

Step-by-step explanation:

In reality it is :  [tex](x-\frac{1}{x} )^5\\[/tex]

[tex]Pascal'sTriangle\\\\\begin{array}{cccccc}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\\1&5&10&10&5&1\\\end{array}\\\\\\(x-\frac{1}{x} )^5\\\\=x^5+5*x^4*\frac{1}{x} *(-1)+10*x^3*\frac{1}{x^3}*(-1)+5*x*\frac{1}{x^4} +\frac{1}{x^5} *(-1)\\\\\\\boxed{(x-\frac{1}{x} )^5=x^5-5x^3+10x-\frac{10}{x} +\frac{5}{x^3} -\frac{1}{x^5} }[/tex]


Related Questions

Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6

Answers

Answer:

angle 1 and angle 7 are alternate exterior angles.

angle 1 and angle 5 are corresponding angles.

angle 3 and angle 8 are same side interior angles.

angle 2 and angle 8 are alternate interior angles.

Step-by-step explanation:

Write an equation in slope-intercept form of a line that passes through the point (-4,9) and has a slope of 1/2.

Answers

Answer:

y = 1/2x + 11

Step-by-step explanation:

y = 1/2x + b

9 = 1/2(-4) + b

9 = -2 + b

b = 11

algebra 2 help please????

Answers

Answer:

Sqrt(-108)=6i*sqrt(3)

Step-by-step explanation:

-108=3*6*6*(-1). Sqrt(-108)=6i*sqrt(3) where i is iota

help if you can id appreciate it

Answers

Less than 14 means

x < 14

Answer:

A. x < 14

Step-by-step explanation:

'<' = "less than"

'=' = "equal to"

'>' = "greater than"

How many meters does a runner cross in a circular runway with radious of 100 meters [R=3, 14]​

Answers

diameter = 2 * radius = 200m

circumference (length of the outside of the circle = diameter * pi = 200 * 3.14

= 628m

What is (f + g)(x)? f(x) = -3x² + 6x g(x) = -X Write your answer as a polynomial or a rational in simplest form​

Answers

Answer:

explanation:

(f + g)(x) = -3x^2 + 6x - x

Answer:

- 3x² + 5x

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= - 3x² + 6x - x ← collect like terms

= - 3x² + 5x

Point W is on line segment V X. Given VX = 18 and VW = 14 determine the length W X

Answers

Answer: WX = 4

Concept:

Here, we need to know the idea of segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

VX = 18

VW = 14

Given expression deducted from the segment addition postulate

WX = VX - VW

Substitute values into the expression

WX = 18 - 14

Simplify by subtraction

WX = 4

Hope this helps!! :)

Please let me know if you have any questions

1. the the sum of certain number and 63 is 88. what is the number?​

Answers

Answer:

25 (88-63=25)

Step-by-step explanation:

As I write this Reiner is standing at my side. He knows this is a love letter but he’s still sneaking glances. Honestly it’s no wonder the creep is still single.

That said, he did give me his word that he’d deliver this letter to you. He says he owes me for the time I doubled back to save him.

I’m sorry about that. I never would have imagined myself choosing those two over you.

I’m gonna die soon,

but I’ll die without regrets.

Or that’s what I’d like to say.

Truth is, I do have one.

It's that I never got to marry you...

With love, Ymir.

just subtract them

88 - 63 = 25

thus, the number would be 25

hope this helps :)

The side of a cube is 3^4 centimeters long. What is the volume of the cube?​

Answers

Step-by-step explanation:

v=s^3 s=3^4=81

v=(81)^3

v=531,441 cm^3

Refer to the figure at the right to answer each question. 5. Are points H, J, K, and L coplanar? 6. Name three lines that intersect at X. 7. What points do plane WXYZ and HW have in common? 8. Are points W, X, and Y collinear? 9. List the possibilities for naming a line contained in plane WXKH​

Answers

Problem 5

Answer: Yes the points are coplanar

------------------------

Explanation:

Note how all four points are in the same plane, aka face, along the top of the 3D block. The term "coplanar" simply means "all in the same plane", so that's why the points are coplanar.

In contrast, the set of points {H,J,K,Z} are not all coplanar because H,J,K are in the top plane, while Z is not.

===========================================================

Problem 6

Answer: line segments WX, XY, and XK

------------------------

Explanation:

All three lines mentioned above involve the letter X in some fashion. The order doesn't matter. Also, those lines intersect at the common point X.

===========================================================

Problem 7

Answer: point W

------------------------

Explanation:

The plane WXYZ is the bottom face, in which we can think of as the floor of the building. The segment HW is from the floor and goes up vertically. We can consider this to be like a pole beam of the structure. The plane and segment both have point W in common. Note that the letter "W" is found in the sequences WXYZ and HW, and it's the only common letter.

===========================================================

Problem 8

Answer: The points are not collinear

------------------------

Explanation:

To be collinear, the points must all be on the same straight line. We see that isn't the case with points W, X and Y.

===========================================================

Problem 9

I'm not entirely sure what your teacher is asking here, so I would ask for a second opinion.

What is 3(x-6)+12=6(x+1)-3x show your work.

Answers

Answer:

No solution.

Step-by-step explanation:

3(x - 6) + 12 = 6(x + 1) - 3x

3x - 18 + 12 = 6x + 6 - 3x

3x - 6 = 3x +6

-6 = 6

-6 ≠ 6

please help me

I will give you 20 points ​

Answers

Your dividing number for both is by 8. Since 8 hours divided by 8 equals 1. You will do the same to the top and get an answer of 25 miles!!

what is the answer to 90π + 2π(7.5)2

Answers

Answer:

635.75

Step-by-step explanation:

90π + 2π(7.5)²

~Simplify

90π + 2π(56.25)

~Multiply

282.5 + 2(176.625)

~Simplify

282.5 + 353.25

635.75

All this was simplified using PEMDAS.

Best of Luck!

Solve - 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) (and could you please explain it to me?? I really don't get it. Thanks!)

Answers

Answer:

Step-by-step explanation:

[tex](x+2)(x-1)= x^2+2x-x-2= x^2 +x -2\\\\( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 =x^2+x-2-x^2+1=x-1\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] =-3(x-1)=-3x+3\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) =-3x+3+3x-3=6x\\[/tex]

Write in mathematical expression and simplify "5 tiems the sum of 12 and 8".​

Answers

Step-by-step explanation:

5(12+8)...

if my answer helps you than mark me as brainliest.

PLEASE HELP COMPARING RATIOS

Answers

Answer:

8 minutes per customer in Restaurant One.

6 minutes per customer in Restaurant Two.

7 minutes per customer in Restaurant Three.

Restaurant Two had the fastest service.

Method:

I divided the time it took – for example – 48 divided by 6. I would do this because I wanted to find out each person took (6 people), and the amount of time it took for each person to get their food. I would use division for this problem because I am finding how much each person took out of the whole time.

Answer

The 2nd restaurant is the fastest

Step-by-step explanation:

I. Compare Time per Customers

     When 1st restuarant = 48/6 = 9

                2nd restuarant = 42/7 = 6

                3rd restuarant = 63/9 = 7

Given if in 1 min, I can serve 20 customers = 1/20 = 0.05

             in 1 min, He can serve 10 customers = 1/10 = 0.1

      See the different? I can serve better than him.

So The answer is the 2nd restuarant.

Hope that help :D

What is the common difference in the arithmetic sequence -2, -5, -8, -11, -14, ... ?

A. 3
B. -2
C. 2.5
D. -3

Answers

Answer:

D. -3

Step-by-step explanation:

d = t2 - t1

d = -5 - (-2)

d = -3

simplify 2 root 3 + 3 root 3 - 4 root 3​

Answers

Answer:

√ 3

Step-by-step explanation:

2√3 + 3√ 3 - 4√ 3

5√3 - 4√ 3

1√3

=> √ 3

Answer:

→ 2√3 + 3√3 - 4√3

= (2+3-4)√3

= (5-4)√3

= √3

Therefore, √3 is the right answer.

What is (x)
9.4x+17.5

Answers

Answer: x=1.8617                                                                                                                                                                

Step-by-step explanation: 9.4x+17.5                                                                     9.4x/9.4=17.5/9.4                                                                                                     x=1.8617                                                                                                                                                                  

8. Find the common factors of 75,100 and 60​

Answers

stick with 60

start trying 1 to 10

then

10, 20, 30, 40, 50, 60

1 , 2 , 4 , 5 , 10, 20, 40, 50

The answer is 5
5 in the only number that can divide into all 3 of the number without giving a remainder or being a decimal.
Hope this help, please give me brainliest:)

step by step

6x+1<9-2x

2x-1 less than or equal to 5x+20

3-(2x-7) less than or equal to 34-6x

Answers

Answer:

6x+1<9-2x

6x+2x<9-1

8x<8

x<1

2x-1 ≤ 5x+20

2x-5x≤20+1

-3x≤21

x≥-7

3-(2x-7) ≤ 34-6x

3-2x+7 ≤ 34-6x

-2x+6x ≤ 34-3-7

4x ≤ 24

x ≤ 6

How to do 6x times 1/x

Answers

Answer:

6

Step-by-step explanation:

6x * 1/x = 6x/1 * 1/x the x on top cancels the x on bottom so

= 6/1 * 1/1 = 6

Which function is represented by the graph below?

Answers

Answer:

I believe it's an exponential parent function

Step-by-step explanation:

Question
What is the measure of JKL?
A. 186°
B. 174
C. 87
D. 267

Answers

Answer: 174

Step-by-step explanation:

krishna bought a mobile phone for Rs10,000 and sold it at Rs. 12,000. Find his grain or loss %​

Answers

Answer: The profit percent is 20%

Step-by-step explanation:

CP = Rs 10,000

SP = Rs 12,000

so

Profit% = (12,000-10,000)/10,000 * 100%

          = 2,000/10,000 * 100%

          = 1/5 * 100%

          = 20%

Answer:

2000 gain

Step-by-step explanation:

I need some help solving this.

6÷2(1+2)

Answers

Answer:

it is 1

Step-by-step explanation:

brainliest?

Answer:

9

Step-by-step explanation:

According to the BODMAS

Bracket first, division second, multiplication third

please help easy maths

Answers

Answer:

option D

Step-by-step explanation:

y-intercept=-8

point(0,-8)

m=4

Using point slope form:

y-y1=m(x-x1)

y-(-8)=4(x-0)

y+8=4x

y=4x-8

What is (f - g)(x)? f(x) = 3x g(x) = -3x² + 3x Write your answer as a polynomial or a rational function in simplest form.​

Answers

Answer:

3x²

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x - (- 3x² + 3x) ← distribute parenthesis by - 1

= 3x + 3x² - 3x ← collect like terms

= 3x²

PLEASEE HELP I WILL GIVE A BRAINLY

Answers

Answer:

a) 7x words

b) 1000/x days

c) 15000 + 10x words

Step-by-step explanation:

The best way to do this would be to plug in real numbers to see how each situation would play out.  For example, for part a, let's say he learns 20 new words each day.  One week has seven days, so that would be 20 x 7, which is 140 words.  You multiply the # of days by the # of words, which is x.

For part b, if he tried to reach 1000 new words by doing 20 new words a day, you would find how long that would take by doing 1000 / 20, which would give you 500 days.  You divide the # of new words he's trying to reach by the # of words a day.

For part c, he already has a set # of new words that he's learned, and now he's just continuing the progress, so you start out with 15000, then add that to 10 new words a day multiplied by # of days (x).

Simplify.

184.10
x 16
-----------

Answers

Answer:

2945.6

Step-by-step explanation:

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