factorise x ^ 4 + 1/x ^ 4 - 3​

Answers

Answer 1

Answer:

Step-by-step explanation:

Add 1 and subtract 1, so that the expression won't change.

[tex]x^{4}+\frac{1}{x^{4}}-3=x^{4}+\frac{1}{x^{4}}-3 +1 - 1\\\\=x^{4}+\frac{1}{x^{4}} - 2 + 1\\\\= (x^{2})^{2} + (\frac{1}{x^{2}})^{2}- 2 *x^{2}*\frac{1}{x^{2}} - 1\\\\[/tex]

[tex]= (x^{2} -\frac{1}{x^{2}})^{2} - 1\\\\=(x^{2}-\frac{1}{x^{2}})^{2}- 1^{2}[/tex]              

(a² - b²) = (a+b)(a - b)

Here a = x² - (1/x²)  and b = 1

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


Related Questions

pls helpppppppppppp!

Answers

Answer: g= -1/12

Step-by-step explanation:

I just solved it hope I helped

You need 3 sticks of butter for every 24 cookies you bake.
Complete the table using equivalent ratios.
3. 24
16
5. 32​

Answers

Step-by-step explanation:

3 sticks of butter make 24 cookies

which means we multiplied 3 by 8

then we devide 16 cookies by 8 which is 2 (as you did)

therefore 5 multiplied by 8 equals 40

Jane drives 80 miles in
2 hours. How many miles
could she expect to drive
in 5 hours?

Answers

Answer:

200 miles I think

Step-by-step explanation:

80÷2=40

meaning 40 miles per hour, so 40×5=200

Jessie had 15 cartons of eggs to sell at the store. Each carton contains 12 eggs. On the way to the store, she broke 7 eggs. How many eggs does she have to sell?

Answers

Answer:

my answer Is 173

Step-by-step explanation:

I think that because 15 times 12-7 but I don't know that I tried

what is the second step to solve this x/2-5=1

Answers

Answer:

X = -3

Step-by-step explanation:

X/2-5 = 1

X/-3 = 1

Multiply both sides by -3 to isolate x

X = -3

The local pizzeria is charging $12.50 for a medium pizza with no toppings. Each topping costs $1.20 each. The variable, P, to represent the price and the variable, t, to represent the number of toppings. Which of the following models is correct?

a) P = 12.50t + 1.20

b) P = 1.20t + 12.50

c) t = 12.50P + 1.20

d) t = 1.20P + 12.50

Answers

Answer:

B is the correct answer!

Answer:

im thinking B

Step-by-step explanation:

Rectangular Prism lateral and total surface area

Answers

Answer:

give me sec waitttttttt give me sec is their any answer choice

What type of property is this?
8x(d+5)
Distributive
Commutative
Associative

Answers

Answer:

distributive

Step-by-step explanation:

this is distributive because the 8 is being multiplied by both d and 5 ; it is being distributed amongst them both

When we multiply the second equation by two, what is the resulting equation?

2(5x−2y=8)

Answers

Answer:

10x - 4y = 16

Step-by-step explanation:

2(5x - 2y = 8)

10x - 4y = 16

Answer:

the equation would be 10x-4y=16

Find the angles in the image

Answers

Answer:

a) 36°, b) 36°, c) 72°

Step-by-step explanation:

Given:PT║VW and SR is transversalm∠PQR = 36°To find:a) m∠SQTb) m∠QRWc) m∠PRVSolution

a) ∠SQT is vertical with ∠PQR and therefore has equal measure

m∠SQT = 36°

b) ∠QRW is corresponding angle with ∠SQT and therefore has equal measure

m∠QRW = 36°

c) m∠PRV = m∠PRQ as marked equal

m∠PRV +m∠PRQ + m∠QRW = 180° as straight anglem∠PRV*2 = 180° - 36°m∠PRV*2 =144°m∠PRV = 144°/2m∠PRV = 72°

What is the Vertex?

y = x² - 8x-1

Answers

Answer:

The vertex is (4,-17)

Step-by-step explanation:

Vertex is (4,-17) hope this helps!

IF YOU GET THE CORRECT ANSWER YOU GET MOR POINTS BTW XOXOX.


The box plots show the lengths of the songs on two digital music players ir
minutes.
Lengths of Songs on Digital Music Players
Music Player X
Music Player Y
+
+
6.5
3.5
4
4.5
+
5 5.5
6
Number of Minutes
7
7.5
Which statement is best supported by the information in the box plots?

Answers

pls answerr question

Answer:

The interquartile range of data for Music Player X is greater than the interquartile range of the data for Music Player Y.

Step-by-step explanation:

just took the test

i need an answer ASAP
plz help me out

Answers

Answer:

C

intersects the y-axis only

Step-by-step explanation:

consider the image that shows a tower anchored by a guy with the guy wire is attached at point b on the tower 119 feet above the ground and then anchored to the ground at point a 120 feet from the base of the tower.
Options are: A) sin0= 119/120, B) sin0= 120/119, C) sin0= 119/169, and D) sin0= 120/169

Answers

Answer:

119/169

Step-by-step explanation:

Answer:

sin0 = 119/169

Step-by-step explanation:

In trigonometry, the formula for sine is opposite/hypotenuse

To find the opposite, you find the angle and look what is right across from it. In this case 119 is right across from the angle.

And of course, our hypotenuse is 169.

Therefore, your answer is

Sin0 = 119/169

Use the Pythagorean Theorem to find the measure of the space diagonal line in the box
picture if the length of the box "a" = 13 inches; width of the box "b" = 5 inches; and height
of the box "c"= 8 inches. * S
(10 Points)
Pythagorean Theorem Formula: a? + b2 = 2
256 inches
257 inches
258 inches
(259 inches

Answers

Answer:

14.42inches

Step-by-step explanation:

Given the following

b = 5 in

c = 8in

we are to find the measure of the space diagonal line

Using the pythagoras theoreml

l^2 = b^2 + c^2

l^2 = 13^2 - 5^2

l^2 = 169 -25

l^2 = 144

l = 12in

To get the measure of the space diagonal line in the box, we will use the pythagoras theorem;

s^2 = l^2 + c^2

s^2 = 144 + 8^2

s^2 = 144 + 64

s^2 = 208

s= 14.42inches

Hence the required length ix 14.42inches

Please help! Will give Brainliest. (Photo below)

Answers

Hi! So I got :
-3 —>20
-2 —>13
-1 —>8
0 —>5
1 —>4
2 —>5
3 —>8
I’m sorry if any of these are wrong but In order to find the answers I used the “graphing quadratics” one (don’t know the name so sorry) but yeah first I found the axis of symmetry which was 1 and from there I built a chart and substituted. Again, I didn’t see some answer choices above in the image so sorry if there wrong, but yeah I hope this helped! (This is from algebra 1 by the way)

How do I find the midpoint M C(3,-5) and D(7,9)

Answers

Given:

The two points are C(3,-5) and D(7,9).

To find:

The midpoint M of the given points.

Solution:

We know that,

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the midpoint formula, the midpoint of C(3,-5) and D(7,9) is

[tex]M=\left(\dfrac{3+7}{2},\dfrac{-5+9}{2}\right)[/tex]

[tex]M=\left(\dfrac{10}{2},\dfrac{4}{2}\right)[/tex]

[tex]M=\left(5,2\right)[/tex]

Therefore, the midpoint M of two points C(3,-5) and D(7,9) is (5,2).

if you have used schwarzkopf hair color? how was it

Answers

Answer:

My friend has and she said she really liked it. It looked nice too

Step-by-step explanation:

I have used that brand when I did blue tips on my hair, It works fine and is pretty simple to use

Find the value of x.

Answers

Answer:

x = 30.74

Step-by-step explanation:

39 - 15 = 24

y^2 + 24^2= 36^2

y^2 + 576= 1296

y^2= 720

y= [tex]12\sqrt{5}[/tex]

15^2 + [tex]12\sqrt{5} ^{2}[/tex]= x^2

225 + 720 = x^2

x^2= 945

x = 30.74

the value of x=30.74

Urgently The image of the point (-5, 4) under a translation is (-3, -1). Find the coordinates of the image of the point (-2, 9) under the same translation.

Answers

Answer:

the answer is (0,4)

Step-by-step explanation:

hope it helps

A recipe calls for 2 cups of butter for every 5 cups of flour. Question 1 Part A What is the ratio of flour to butter? Write the ratio in three different ways. Do not simplify the ratios. Enter the correct answers in the boxes.

Answers

Answer:

The answer is 5:2 5 to 2 5/2.

Lin runs 5 laps around a track in 6 minutes.

How many minutes per lap is that? Show work

Answers

6/5=1.2 one minute and twenty seconds per lap

Find the missing side length to the nearest tenth of a millimeter. Enter your answer in the box.

About ___ mm

Answers

Answer:

missing side = 4.7 mm

Step-by-step explanation:

using the Pythagorean theorem:

7² - 5.2² = x²

49 -27.04 = x²

x² = 21.96

x = 4.69

Which equation is represented by the graph below?
5
4+
3+
2+
t
5 4 3 -2 -11
+ +
4 5
1
2.
3
3
-27
-3+
T 17

Answers

Answer 1               8      

Step-by-step explanation:

[tex]y = \frac{1}{2} e^{x}[/tex]  equation is represented by the given graph.

What is graph?

"Graph is defined as the representation of relation between two variables on the coordinate plane."

According to the question,

From the observation of the graph,

for x= 0

y- intercept = [tex]\frac{1}{2}[/tex]

a.  [tex]y = \frac{1}{8} e^{x}[/tex]

Substitute x = 0 in the equation we get,

[tex]y = \frac{1}{8} e^{0}[/tex]  

⇒ [tex]y = \frac{1}{8}[/tex]

Therefore,

Option (a) is not the correct answer.

b. [tex]y = \frac{1}{2} e^{x}[/tex]

Substitute x = 0  in the equation we get,

[tex]y = \frac{1}{2} e^{0}[/tex]  

⇒ [tex]y = \frac{1}{2}[/tex]

which is same as graph value.

Hence, Option (b) is  the correct answer.

Learn more about graph here

https://brainly.com/question/10712002

#SPJ2

answer both and i will give brianlist

Answers

Answer:

1. Perpendicular

2. y=5x+7

Step-by-step explanation:

brainliest please?

Pls help me if your great at math I’ll mark brainliest <3 (if correct)

Answers

Answer:

I believe it's B

Hope this helped<3

Please help me I have no idea what this is

Answers

Answer:

D

Step-by-step explanation:

In ΔIJK, k = 64 inches, j = 17 inches and ∠J=68°. Find all possible values of ∠K, to the nearest 10th of a degree.

Answers

Answer:

N/A  (if on delta math leave blank)

Step-by-step explanation:

(3.4905745)=ERROR

Sine cannot be greater than 1.

The given conditions cannot form a triangle, there is no possible value of K.

What is sine law?

In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

Given that, in a triangle Δ IJK, k = 64 inches, j = 17 inches and ∠J = 68°.

We need to find value of ∠K,

So, using the sine law,

Sin K / k = Sin J / j = Sin I /i

So,

Sin K / k = Sin J / j

Sin K / 64 = Sin 68° / 17

Sin K = 3.5

K = Sin⁻¹(3.5)

K = ERROR

Hence, the given conditions cannot form a triangle, there is no possible value of K.

Learn more about sine law, click;

https://brainly.com/question/17289163

#SPJ2

Which system of equations is best represented by the graph?

Answers

Answer:

it's the first one

Step-by-step explanation:

since all of them go up to 8 on the graph it

the graph represents it going down since the first one is the only one to go down that one represents the graph precisely.

Learning task 1 : What value of x that will make equation or in quality true
1.2x = 6 6.5x > 5
2.2x + 2 =8 7.3x - 4 < 6
3. x = 3 8.2x > 4
6 3
4.3(x - 2) =0 9.2(x + 3) < 0
5.3 + x = 2x - 1. 10. 5 + x < 2x - 1​

Answers

1)3
2)3
3)36 if the 3 and 6 are together
4)2
5)4 then it gets a little weird for the rest of the questions
Other Questions
At Frank's company, the strength of the organizational structure is that the results are based onthe effectiveness of the managers, but its main weakness is costs can be increased due to adecrease in efficiency. This is an example of which structure?OsimpleO functionalO divisionalO matrix * Suzy Kicks a ball into the air. Thefunction that models this Scenario ish(t) = -16+ +48t, where h is the heightof the marble in feet and t is the timeSeconds. How long will it take themarble to hit the ground. Select the correct answer.In general, how does an increase in distance from the Sun affect a planet?. .The amount of sunlight the planet receives decreases.OB.The gravitational force exerted by the Sun increases..The thickness of a planet's atmosphere increases.OD. The planet's atmosphere absorbs more heat. 4 m 5mWhat is the volume of the cone to the nearest cubic meter? (Use TC = 3.14)A)21 m3B)84 m20)168 mD)335 m Cancer is a disease caused by mutations. Yet in most instances, if a parent tragically dies from cancer, this does not put their child at a greater risk than a person who parents don't develop cancer. How can cancer be caused by mutations and ot be heritable?a. most cancers arise from mutation in germ line cellsb. mutations that cause cancer occur on specific cells, such as sex cellsc. mutations caused by environmental agents, such as tobacco smoke, occur in somatic cellsd. mutations that cause cancer are specific and cannot be passed on regardless of the type of cell they occur in words that mean the same thingdecrease,diminish,dwindle What is advertising? What can you learn fromadvertising? What can't you learn? 3 Convert 6,23 kg to grams Why do YOU think the press should be regulated? The perimeter of a worksheet is 40 inches. It is 13 inches long . How tall is it? Being able to determine if something is a want or need is only the first step. How does this knowledge help you manage money? What decisions or actions need to follow this knowledge so you can wisely spend your money? (3 points) According to an energy pyramid model, which trophic level is expected have the largest biomass in land ecosystems ? what are the recommendations and solutions of mosoon wind Use the figure to find the value of X? When WWII broke out in Europe in 1939, the US followed a policy of____,which meant that they wouldn't join either the Axis or Allied powers.A. Isolationism B. Neutrality C. Capitalism D. Containment Name 6 group that made up above invaders? Plz help Find the values of x and y in the parallelogram when AB=x^2-18, CD=7x, mD=(5y+31), mB=96 What would you ask Irene Sender if she was still alive? why did the United States acquisition of the PhilippinesHELPP Ed andEthel own a bed and breakfast. How mighthotel in the city?their duties differ from that of Mark, the director of a largeO Ed and Ethel hireemployees to take reservations, clean rooms, and make breakfast. while Mark handlesthese tasks by himself.Ed and Ethel likely have a maintenance man to handle problems, while Mark would perform maintenanceby himself.Ed and Ethel take reservations, clean rooms, and make breakfast, while Mark delegates these tasks toseveral hotel workers.Ed and Ethel organize activities and plan day trips for customers, while Mark makes financial and hiringdecisions. no