factorize the following questions
1. a^8-b^8
2. 32y^4 - 162

Answers

Answer 1

Answer:

1. [tex]2(16 {y}^{4} - 81)[/tex]

2. [tex]2(2y - 3) \times (2y + 3) \times (4 {y}^{2} + 9)[/tex]

Step-by-step explanation:

1. [tex] a^{8} - {b}^{8} [/tex]

➡️ [tex]( {a}^{4} - {b}^{4} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex]( {a}^{2} - {b}^{2} ) \times ( {a}^{2} + {b}^{2} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex](a - b) \times (a + b) \times ( {a}^{2} + {b}^{2} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex]2(16 {y}^{4} - 81)[/tex] ✅

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

2. [tex] 32 {y}^{4} - 162[/tex]

➡️ [tex] 2(16y^{4} - 81)[/tex]

➡️ [tex]2(4 {y}^{2} - 9) \times (4 {y}^{2} + 9)[/tex]

➡️ [tex]2(2y - 3) \times (2y + 3) \times (4 {y}^{2} + 9)[/tex] ✅


Related Questions

Tutorial Charlie is planning a trip to Madrid. He starts with $984.20 in his savings account and uses $381.80 to buy his plane ticket. Then, he transfers 1 4 of his remaining savings into his checking account so that he has some spending money for his trip. How much money is left in Charlie's savings account?

Answers

Answer:

$150.60

Step-by-step explanation:

$984.20-$381.80= $602.40

Take $602.40 and divide by 4 which equals $150.60 which is the 1/4 $ Charlie has in his savings account.

HELP PLEASEEEEEEEEEEE

Answers

Answer:

The answer you have selected is correct.

Step-by-step explanation:

Answer:

X^2 - 7xy + y^2 +2y

Step-by-step explanation:

For this, they are just trying to test if u know how to expand the brackets, especially for the one on the right, since that is a negative infront of the bracket, u would need to multiply negative to all the values in that bracket

A.
absence of a cell wall
B.
absence of a nucleoid
C.
presence of chloroplast
D.
presence of a vacuole

Answers

hi <3

i'm not sure how many options you are allowed to select but the answers would be option C and D, as both of these structures are found in plant cells and not animal cells

hope this helps :)

A clothing company buys t-shirts for $10 and sells them for $100. What is the percentage mark up on
t-shirts? Make sure you show at least one step of working

Answers

Answer:

900%

Step-by-step explanation:

Starting price : 10

End price: 100

100-10 = 90

90/10 = 9 = 900%

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

(√2+√3) ^2
answer faaaaaaaaaaaaast

Answers

Answer:

2.5

Step-by-step explanation:

Answer:

[tex]thank \: you[/tex]

what is 2 ÷ 3 = as a fraction???

Answers

Answer:

[tex]2 \div 3 \\ \frac{2}{3} [/tex]

Decimal:2 ÷ 3 = 0.6666666

Fraction:2 ÷ 3 = [tex]\frac {2}{3} [/tex]

How hectometers equals 102 what

Answers

10200 and meters, I assume I answered the last one too

Select the correct answer.
What is the value of xin 2(5x) = 14?

Answers

Answer: x= 1.4 or x=7/5

Step-by-step explanation:

2(5x)=14

Divide both sides by 2

5x=7

divide again this time both sides by 5 to solve for x

x=7/5 or 1.4 as a decimal

( x+y)² + 2(x+y)×(x-y)+(x-y)²

Answers

Step-by-step explanation:

4x is the real answer of that question

6) find HJ
8)find IK

Answers

Answer:

HJ = 17

IK = 30

Step-by-step explanation:

to find HI :

GH : 2

HI : ?

IJ : 12

GI : 7

HI = GI - GH

HI = 7- 2

HI = 5

HI + IJ = HJ

5 + 12 = HJ

17 = HJ

To find IK

IJ = ?

JK = 12

KL = ?

IL = 49

JL = 31

To find IK we need to find KL and IJ

KL = JL - JK

KL = 31 - 12

KL = 19

IJ = IL - (JK + KL)

IJ = 49 - 31

IJ = 18

IK = IJ + JK

IK = 18 + 12

IK = 30

e) If the radede circle is 7em, then find the area of circle. al- (SSS. x at Solna -​

Answers

Hi

area of circle, which is call in proper math terme circumference ( latin for going around) is given by this formula :

2 times radius x pi

As math is all about knowing your formula and training, I let you have a shot. You wont progress other wise.

Ask in comment section if you are still blocked.

H. Pete wants a new truck. The sale price is 15% lower than the original price. The sale price is $20,000. Write and evaluate an expression for the original price. Uses for sale price and p for original price.​

Answers

SP=20000Discount=15%CP=?

100-15=85%=SP

[tex]\\ \sf\longmapsto 85\%\times x=20000[/tex]

[tex]\\ \sf\longmapsto \dfrac{85}{100}x=20000[/tex]

[tex]\\ \sf\longmapsto x=20000\times \dfrac{100}{85}[/tex]

[tex]\\ \sf\longmapsto x=235.2(100)[/tex]

[tex]\\ \sf\longmapsto CP=23520[/tex]

14>6>2 true or false

Answers

Answer:

I think this is if it is right then help me plz this is false ..

What is the solution of the equation?


-6x+5= 3-5x

Answers

Answer:

I think the answer is x = 2

Answer: 2

Step-by-step explanation:

-6x+5=3-5x

+5x +5x

-x +5=3

-5 -5

-x = -2

-2 -2

X=2

Simplify 14^15/ 14^5
A 1^3
B 1^10
C 14^3
D 14^10

Answers

D is the correct answer
Hope this help


Which graph is the graph of the function
r(x)=x^2+6x+8/2x+8?

Answers

Answer:

A is the answer

it's was helpful to you

Option (A) is correct.

To distinguish between the graph.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

It is given that :

r(x)=[tex]\frac{x^{2}+6x+8 }{2x+8}[/tex]

To solve by the division method the points are (-2,0) and (0,1).

So, Option (A) is correct.

Learn more about graph here:

https://brainly.com/question/24382977

#SPJ2

Evaluate and simplify expressions

Pls put the solution as well

Answers

Answer:

The answer for question no 1 is 9

Step-by-step explanation:

Check out the steps as I've done in the image sent

Work 2 and 3,using the same process

Hope you understand?

Algebra
I need to work this out help me please

Answers

There must be more to the problem

What is at least 2 metaphors in this passage?

Until this day, how well the house had kept its peace. How carefully it had inquired, "Who goes there? What's the password?" and, getting no answer from lonely foxes and whining cats, it had shud up its windows and drawn shades in an old maidenly preoccupation with self-protection which bordered on a mechanical paranoia. It quivered at each sound, the house did. If a sparrow brushed a window, the shade snapped up. The bird, startled, flew off! No, not even a bird must touch the house! The house was an altar with ten thousand attendants, big, small, servicing, attending, in choirs. But the gods had gone away, and the ritual of the religion continued senselessly, uselessly.

Answers

Answer:

Step-by-step explanation:

it had shud up its windows and drawn shades in an old maidenly preoccupation with self-protection which bordered on a mechanical paranoia.

Put a like before an old maidenly aunt or woman. That makes it a simile. Take the like out and you have a metaphor.

Do the same thing with like in front of an alter. Take out the like and you have a metaphor.

What a grim and yet wonderful passage.

help its urgent please

Answers

Hi,

Answer is $0.19

Step-by-step explanation:-

We know that:-

15 dimes = $1.50

20 nickels = $1.00

8 quarters = $2.00

half dollar = $0.50

19 pennies = $0.19

Total = $5.19

Since Billy spended $5, so,

$5.19 - $5 = $0.19

Hope it helps you...

5. * Your parents drove the family car 462 miles on 14 gallons of gas. On average, how many miles did the car travel on each gallon of gas (Write the expression and solve)?

Answers

Answer:

33 miles did the car travel on each gallon of gas

100 POINTS + BRAINLIST IF RIGHT. GEOMETRY
In problems 13-15 is the bisector of AC

Please help 13-15 I’m struggling so hard :(

Answers

Hello! I'm happy to help!

Question 13: First, we will need to find the value of x. We know that AB and BC are equal.

So, we can subtract x from both sides.

2x-8

-x

x-8

So, we get AB as x-8

x+17

-x

17

and BC as 17. We know that these are equal, so we need to find which x value will make them that way. In this case, x=25 because 25-8=17. We can now add back the x we removed earlier.

17+25=42

Therefore, both AB and BC have a value of 42. and AC will be the combined total.

42+42=84

So, for question 13, x=25, AB=42, BC=42, and AC=84.

Question 14: This question is similar, but we have an expression for AB and AC, instead of AB and BC. We still know that AB=BC, so we can also say that BC=x+6 also. To find x, we need to find a second expression that is equal to AC. We can ad AB and BC together to get that. (x+6)+(x+6)=2x+12. This expression is equal to the AC expression, so we can compare them to find x.

2x+12=3x-31

We need to single out the x on one side, by changing things in the same way on both sides.

2x+12=3x-31

-2x       -2x

12=x-31

+31 +31

43=x

Now that we know our x value, we need to plug it in!

43+6=49

We now know that both AB and BC have a value of 49. Let's plug in the value for AC.

(43·3)-31

129-31

98

After plugging in the values, we know that AC is equal to 98. You could have also added AB and BC together, giving you 98 also.

To Summarize Question 14: x=43, AB=49, BC=49, AC=98.

Question 15: This one is very similar to the last, with a little more complexity to the expressions. First, let's simplify the expressions on AB and AC.

AB=3(3x-1)  AB=9x-3

AC=5(2x+2)   AC=10x+10

Now that we have the simplified expressions, let's solve. We need to find an equivalent expression for AC. We know that AB and BC are equivalent, and also add up to AC. We can copy the expression from AB to BC, and then add them

(9x-3)+(9x-3)=18x-6=AC

We now compare the two expressions in an equation to find x.

10x+10=18x-6

Again, we have to single out x on one side.

10x-10=18x-6

-10x     -10x

10=8x-6

+6     +6

16=8x

This time, we need to divide both sides to single out x.

[tex]\frac{16}{8}[/tex]=[tex]\frac{8x}{8}[/tex]

2=x

Now that we have x, we need to plug it in to finish solving.

(9·2)-3

18-3

15

AB=15  BC=15

From here, you can do one of two things, add AB and BC together (easy), or plug in x for AC.

15+15=30                            (10·2)+10

AC=30                                 20+10=30

                                            AC=30

To Summarize Question 15: x=2, AB=15, BC=15, AC=30.

I'm always happy to help, keep learning! :D

                                       

What's the answer to this plz!?!

Answers

Answer:

1/5

Step-by-step explanation:

There are 5 yogurts in total.

(1 raspberry, 2 strawberry, 1 blueberry, 1 vanilla)

The chance of pulling a vanilla is 1/5.

Answer:

20%

Step-by-step explanation:

1/5 or 20% or 0.2 is the chance of finding vanilla yogurt

A school store buys pencils in bulk and sells them to students for a small profit. The school pays $2.00 for 100 pencils and sells them for 10 cents each. How many pencils would they have to sell to make a $100 profit?

Answers

Answer:

1,000 pencils  

Step-by-step explanation:  

First, there are 10,000 cents in $100.  

So divide 10,000 by 10.  

1,000.

I hope this helps!  

pls ❤ and mark brainliest pls

Pleas help and can you please show you work

Answers

Step-by-step explanation:

P - 12.95 = 44

P = 56.95

is it right?

PLEASE HELP ME FAST
Questions 10-12
f(x)= 3x-13
g(x)= 2x^2-4x-5
h(x)=4^x-7

10. Find (f - g) (x)
11. Find (f - h) (x)'
12. Find (f + g) (x)

Answers

10. -2x^2-x-18
11. I’m not sure if you meant to put the x as the exponent for h(x) but if you did then the answer is 3x-20-4^x
12. 2x^2-x-18
Hope this helps but I’m sorry if it doesn’t!

Answer:

Number 11 I doubt the answer is right or wrong so I made 2 answers. If you know the answer please tell me, so I understand

Please help with answers I need them as soon as possible!

Answers

5 because 5/6 is equal to 15/18

What is the answer to the green box?

Answers

The bacteria increases 90% the formula adds the percentage, as a decimal to the 1.

The answer would be 0.90

Peyton needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $77 for parts. The total was $497. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answers

Answer:

Step-by-step explanation:

the equatoin is 4x+77=497

and x is the hours spent

so solving it you subtract 77 from 497 which is 420 and 420/4 is equal to 105

Using the numbers 2,7,13,11,5 can you get the total of 23? (You must use all numbers, no negatives, no using each number more than once, and only use Subtraction, Multiplication, addition, and division, you can also group numbers)

Answers

Answer:

(2-7)/5 + 13 + 11

Step-by-step explanation:

There's a lot of guess and check that needs to go into this to make this work, but here's what I got:

(2-7)/5 + 13 + 11

-5/5 + 13 + 11

-1 + 13 + 11

24 - 1

23

Other Questions
A network externality is the effect that an additional user of a good or participant in an activity has on the value of that good or activity for others. a direct effect on an economic decision maker. an indirect effect on an economic decision maker. an uncompensated effect on someone other than the person who caused it. The price of an item has dropped to $ 27 today. Yesterday it was $60. Find the Percentage decrease. Can someone help me thanks! Olivia has an assignment in Science to create a presentation aboutphotosynthesis. She would like to find more information. What shouldOlivia do? Mike sold H hats. Nate sold three times as many hats as Mike. Write an expression for the number of hats Nate sold. What was the greatest community impact of the Oklahoma City bombing?Individuals experienced significant emotional pain years after the event.Employees had to spend years reconstructing records that were destroyed.New residents failed to understand how the community dealt with the effects of the bombing.Many people lived in constant fear even though the bombing had happened in the distant past. 1/3(1/2)3 1/3 - 51 4/5(2 7/8)3 3/87/8 4 3/4(1 1/12)I WILL GIVE YOU 20 POINTES IF YOU FINISH THIS BY THE END OF THE DAY The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t^4 9t^3 + 24t^2 20t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?5 months3 months2 months1 month(2 months isnt the answer btw) Nepali help plz. :, , , , , Am I right ? And if I wrong , which one ? What was China motive in joining World War I alongside the allies what is electron configuration? 3. The average pencil can be sharpened 17 times and write about 45,000 words. Which canwrite longer, wooden #2 pencils or mechanical pencils (with one piece of lead)?Please help :( que puede deducir de la importancia de los flujos energticos What is the identity of the element? Help please Amy uses 48-cent stamps and 7-cent stamps to mail a gift card to a friend. If the postage is $2.07, how many of each stamp did Amy use? Determine the gradient of line AC A still object has a mass of 25kg, what would be the Weight? What would be the Normal Force? Hoping for a few scraps of food, the tiny puppy scooted closer to the table where the man was eating. She placed her paws on the edge of the man's seat to signal that she was hungry. The man gently eased the whining puppy back onto the floor. "No begging," he scolded. Pushing his plate away from the edge of the table, the puppy walked away from the man.What is the function of the phrase "hoping for a few scraps of food in the first sentence?It is a participial phrase that modifies puppy.It is an infinitive phrase that modifies puppy.It is a participial phrase that modifies man.It is a gerund phrase that is the subject of the sentence. a square playground measures 2500 ft^2 what is the distance around the edge of the playground?