Mathematics College

What is the completely factored form of this polynomial?
81x4 − 16y4

Answers

Answer 1

Answer:

( 9 x^ 2 + 4 y ^2 ) ( 3 x + 2 y ) ( 3 x − 2 y )

Answer 2

The completely factored form of the polynomial 81x^4 - 16y^4 is:

(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)

Determining the completely factored form

Apply the difference of squares formula:

(9x^2)^2 - (4y^2)^2

Factor the difference of squares:

(9x^2 + 4y^2)(9x^2 - 4y^2)

Apply the difference of squares formula again:

(3x)^2 + (2y)^2

(3x)^2 - (2y)^2

Factor the difference of squares:

(3x + 2y)(3x - 2y)

Putting it all together, the completely factored form of the polynomial 81x^4 - 16y^4 is:

(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)

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Related Questions

What is the real part of 6 plus 3i

Answers

Answer:

63

hope it's 9 lol ❤❤❤❤❤❤

THANK YOU. ^O^ :)

Answer: 6

Step-by-step explanation: A complex number is written as a+bi where a is the real part(whole number) and b is the imaginary part.

Recall the Spice Girls Emporium example. A list of useful information is given below. n = 36 The sample mean income is $41,100 The population standard deviation is estimated to be $4,500 What if we wanted to change our level of confidence to be 99%? What would our new margin of error be? Your answer should be given as an integer.

Answers

Answer: Margin of error = 1932

Step-by-step explanation: Margin of Error is the amount of variation a survey's results have. In other words, it is understood as the measure of variation one can see if the same survey was taken multiple times.

Margin of error is calculated as [tex]z\frac{\sigma}{\sqrt{n}}[/tex]

z is z-score related to the percentage of confidence, in this z = 2.576

σ is population standard deviation

n is how many individuals are there in the sample or population

With a new level of confidence of 99%:

ME = [tex]2.576.\frac{4500}{\sqrt{36}}[/tex]

ME = 2.576(750)

ME = 1932

The new margin of error would be 1932.

What is the simple interest earned when the principal is $3050, the rate is 6% and 3 years?

Answers

Answer:

$549

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 3050 × 0.06 × 3 = 549

I = $ 549.00

The simple interest accumulated

on a principal of $ 3,050.00

at a rate of 6% per year

for 3 years is $ 549.00.

Answer:

I’m pretty sure 549

Step-by-step explanation:

50 POINTS!!!!!!! WILL GET BRAINLIEST IF CORRECT!!!!!

Answers

Answer:

43

Step-by-step explanation:

solve for x -2x + 2 = x -13

Answers

Answer:

x = 5

Step-by-step explanation:

Add 2x to both sides: 2 = 3x - 13

Add 13 to each side: 15 = 3x

Divide both sides by 3: 5 = x

Isolate with the variable by dividing each side by factors that don't contain the variable. So, x= 15

5x + y = 6
5x + 3y=-4
The y-coordinate of the solution to the system shown is
-5
01
1
2
0-1

Answers

Answer:

I think it’s -5

God bless you & have a beautiful rest of your day “and sorry if it didn’t help”.

PLEASE HELP I NEED HELP WITH AN ALGEBRA 2 QUESTION ILL GIVE BRAINLEST

Answers

Answer:

the zeros of the function are those that result, when plugged into the equation, in zero; the zeros are -3, 1, and 1/2

Step-by-step explanation:

all possible factors:

±3/2,  ±1/2,  ±3,  ±1

2x³ + 3x² - 8x + 3

let '2' = p and let '3' = q

factors of 'p' are 1 and 2

let '3' = q

factors of 'q' are 1 and 3

possible factors are q/p

Suppose that E and F are points on the number line.
If EF = 12 and E lies at -9, where could F be located?

Answers

Answer:

either at -21 or 3

Step-by-step explanation:

we know that the length is a total of 12 so it either goes 12 spaces to the left or to the right of -9

-9 - 12 is -21 and -9 + 12 is 3

It’s either at 21 or 3 try it and let me know if works or if not email me and I’ll help you out.

PLEASE HELP WITH THESE QUESTIONS I HAVE 5 MINUTES LEFT

What is 4 superscript 5 written in expanded form?
O 4 + 4 + 4 + 4 + 4
O 4 times 4 times 4 times 4 times 4
O 5 + 5 + 5 + 5
O 5 times 5 times 5 times 5

Answers

Answer:

4+4+4+4+5

Step-by-step explanation:

is 5 times the number only expanded

Answer:

4+4+4+4+5

Step-by-step explanation:

Max walks 10 meters in 4 seconds what is his walking rate in meters per second

Answers

Answer:

2.5 m/s

Step-by-step explanation:

10/4 gets the answer. it is just distance over time

Answer: 2.5 m/s

Step-by-step explanation:

Write fractions in order 5/8 2/3 3/8

Answers

Answer:

3/8, 5/8, 2/3

3/8 5/8 2/3 that’s is them in smallest to greatest

Write an algebraic expression. The product of two numbers is 94, and one of the numbers is n. What is the other number?

Answers

Answer:

Let say the another number y

N×Y=94

Y=94/N

So the algebric expression is 94/N

True or false, A triangle with side lengths of 9 cm, 19 cm, and 17 cm is a right triangle.

Answers

Answer:

False

Step-by-step explanation:

A right triangle has all side lengths the same

Answer: give me brainliest now

Step-by-step explanation:

PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2x+30 = 90 (Choice A)

definitely choice A. 2x+30=90

Corey need a 24 boards that are 47 1/2 inches long







A. How many feet a boards should he buy? Explains.










B. if you can only buy 8-fot boards, how many should he buy? explain ​

Answers

Answer:

Step-by-step explanation:

1 foot = 12 inches

47.5 inches × (1 foot)/(12 inches) = (47.5/12) feet

24 boards × ((47.5/12) feet)/board = 95 feet

:::::

(8 feet)/board × (12 inches)/foot = (96 inches)/board

96/47.5 = 2 remainder 1

An 8-foot board provides two 47.5" boards, with an inch wasted.

He needs to buy 12 of the 8-foot boards.

Someone help me on question 10 please!

Answers

Answer:

Step-by-step explanation:

500÷9=55.56miles/h (correct to 3 decimal places)

At a carnival, the probability that you chose a winning rubber duck from 25 ducks is 0.20.

How many are not winning ducks?

Answers

The game is formed such that a duck is either winning duck or a non winning duck .

there is no other result for any duck present in the game .

Also choosing a duck is a fair game it is independent of any prior situation .

here we would be using a basic probability formula , that is

Probability of a result = number of items in favour of that result divide by total number of items present in the game .

The amount Cami raised during last year’s charity walk, $45.50, is StartFraction 7 over 10 EndFraction of the amount she raised this year. Which equation represents n, the number of dollars she raised this year

Answers

Answer:

The equation is given by:

[tex]n = \frac{7}{10} \times 45.50[/tex]

Step-by-step explanation:

During last years's charity walk, she raised $45.50.

During this years walk, she raised n, which is 7/10 of this amount. So, the equation is given by:

[tex]n = \frac{7}{10} \times 45.50[/tex]

Answer: 45.50=0.7n

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLIEST AND FOLLOW using y=mx+b form

Answers

Answer:

y=1+5

Step-by-step explanation:

b is the y intercept and 1 is the slope gradient



A superball rebounds half the height it drops. A student drops the superball from the top of a building, 176 feet above the ground. How far
above the ground is the ball when it has traveled a distance of 500 feet?

Answers

Answer:

62.48 ft.

Step-by-step explanation:

Initial height: 50 ft.

First rebound: 10 ft.

Second rebound: 2 ft.

Third rebound: 0.4 ft.

Fourth rebound: 0.08 ft.

If we approximate the fourth rebound to zero, we'll have:

50 + 10 + 2 + 0.4 + 0.08 = 62.48 ft.

The equation 3x + 2 = 29 is modeled below.
Which is the first step in solving the equation for x?

Answers

Answer:

Subtract 2 from both sides.

Step-by-step explanation:

Remember to do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

> Also, note the equal sign, what you do to one side, you do to the other side of the equation.

First step is to subtract 2 from both sides of the equation:

3x + 2 (-2) = 29 (-2)

3x = 29 - 2

3x = 27

The second step is to divide 3 from both sides of the equation:

(3x)/3 = (27)/3

x = 27/3

x = 9

~

Answer:

The first step is subtracting the two on both sides.

Step-by-step explanation:

You arent exactly following PEMDAS in this equation, but you are still in a way. Before going on to x you need to go on to the numbers first. 3x would be equal to 27.

PLZ HELP VERY EASY BRAINLIEST
Identify a pair of mutually exclusive events and a pair of independent events.

Answers

You can’t run backwards and forwards at the same time (mutually exclusive event). Rolling a dice and landing on 3 then landing on tails during a coin toss (independent events)

Discussion Prompt: A fair coin is tossed twice and the number of heads is recorded. Jose says the P(1 head) = 1/2, while Jeff students says P(1 head) = 1/3. Explain in detail why Jose is correct.

Answers

Let H represent heads and T represent tails.

Writing HH means we get two heads and HT means we get heads first, then tails second, and so on.

We have these four possible outcomes when flipping two coins

HHHTTHTT

Of those four outcomes, two of them have exactly one head show up (HT and TH). The probability of getting exactly one head is 2/4 = 1/2, so this is why Jose is correct.

Simplify using Synthetic Division

Answers

Step 1
Write down the first coefficient without changes:
−3223−10−3
−3
2
3 −10 −3
2

Step 2
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223(−3)⋅2=−63+(−6)=−3−10−3
−
3
2
3
−10 −3
(
−
3
)
⋅
2
=
−
6
2
3
+
(
−
6
)
=
−
3

Step 3
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223−6−3−10(−3)⋅(−3)=9(−10)+9=−1−3
−
3
2 3
−
10
−3 −6
(
−
3
)
⋅
(
−
3
)
=
9
2
−
3
(
−
10
)
+
9
=
−
1

Step 4
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223−6−3−109−1−3(−3)⋅(−1)=3(−3)+3=0
−
3
2 3 −10
−
3
−6 9
(
−
3
)
⋅
(
−
1
)
=
3
2 −3
−
1
(
−
3
)
+
3
=
0

We have completed the table and have obtained the following resulting coefficients: 2,−3,−1,0
2
,
−
3
,
−
1
,
0
.
All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.
Thus, the quotient is 2x2−3x−1
2
x
2
−
3
x
−
1
, and the remainder is 0
0
.
Therefore, 2x3+3x2−10x−3x+3=2x2−3x−1+0x+3=2x2−3x−1
2
x
3
+
3
x
2
−
10
x
−
3
x
+
3
=
2
x
2
−
3
x
−
1
+
0
x
+
3
=
2
x
2
−
3
x
−
1
Answer: 2x3+3x2−10x−3x+3=2x2−3x−1+0x+3=2x2−3x−1

Which of the following can a seismograph not show scientists?

Answers

It can’t tell you when exactly in time when the earthquake is going to occur.

Factor out the greatest common factor

Answers

Answer:

C

A

B

D

Step-by-step explanation:

Craig has 5/8 of a bottle of glue but the recipe calls for three quarters a bottle. Does he have enough

Answers

Answer:

No, he doesn't have enough

Step-by-step explanation:

In eights, three quarters of a bottle is equal to 6/8.

Since 5/8 is smaller than 6/8, Craig won't have enough glue.

So, the answer is no.

Answer:

NO

Step-by-step explanation:

3/4 converted to eighths is 6/8. and 6/8 is greater than 5/8

help! algebra question

Answers

I think it’s y=10x+45 because the line starts at 45 and it’s increasing by 10. If i’m right can you mark me brainliest?

9. Put these numbers in greatest to least order: 2/3, 60%, 0.06, 3/4

Answers

Step-by-step explanation:

0.0660%2/33/4

hope it's right :)

Given that P=x+y. Find P when: x=−5 and y=−3

Answers

Answer:

P = - 8

Step-by-step explanation:

Given

P = x + y ← substitute x = - 5 and y = - 3

P = - 5 + (- 3) = - 5 - 3 = - 8

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