Factor the expression completely.

Factor The Expression Completely.

Answers

Answer 1

Answer:

Factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]

Step-by-step explanation:

We need to factor the expression [tex]xy^4+x^4y^4[/tex] completely

We need to find common terms in the expression.

Looking at the expression, we get [tex]xy^4[/tex] is common in both terms, so we can write:

[tex]xy^4+x^4y^4\\=xy^4(1+x^3)[/tex]

So, taking out the common expression we get: [tex]xy^4(1+x^3)[/tex]

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

So, we get:

[tex]xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)[/tex]

Therefor factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]


Related Questions

give the coordinates (1,4) after a translation 3 units up and 2 units to the left.

Answers

Answer:

The coordinates would be (3,7)

WHOEVER ANSWERS THIS FIRTS GETS BRAINIEST

Answers

Answer:

62mm

Step-by-step explanation:

Add each side together, check answer.

Start by adding 17 and 10 together. Break it down and that equals 27. Add 11 and you get 38. Add 19 and 5 to get 24 and add that to 38. Answer, 62mm.

Ronald McDonald kills 10 kids on Monday and he poised 4 dogs on Tuesday and on Wednesday he drowns 12 babys and on Thursday he bombs 3 Russian homes we don't know how many he killed on Friday but in total he has killed 500 victims and on Saturday and Sunday he took a break, how many kids did Ronald McDonald kill on friday?​

Answers

Answer: my boi killed 471 people on a friday

Step-by-step explanation:

Find the product of 3 1/8 and 5/8 . Express your answer in simplest form.

Answers

Answer:

5

Step-by-step explanation:

3 1/8 : 8 x 3=25 new fraction

25/8 x 8/5 you have to do kcf Keep Change Flip

and then multiply

8x5=40 25x8=200 simply by 40

5/1= 5 hope it helped im not the best :)  

HELP ME PLEASE!!! Asap

Solve for the proportion 42/21 = 6/d

Answers

d = 6/42121 or d = 0.000142447

which of these is expression is equivalent to z+z+z+z ​

Answers

Answer:

4z

Step-by-step explanation:

Answer:

4z

Step-by-step explanation:

z + z + z + z

~Combine like terms

4z

Best of Luck!

PLEASE HELP ILL GIVE YOU BRAINLIEST

Answers

I think it is letter B

WILL MARK BRAINLIEST Solve this system of linear equations. Separate
the x- and y-values with a comma.
2x = -24 - 4y
-5x = 36 + 4y
Enter the correct answer.

Answers

Answer:

x=-4 , y=-4

Step-by-step explanation:

see the attached pic

please help me with this question!

Answers

Answer: 1.113
Explanation:

What is c? 1/3c = 3/8;c=3/4

Answers

Answer:16

Step-by-step explanation:

U just mu

Geometry TEST #5 Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent? x a. SAS only b. AAS only c. Either SAS or AAS d. neither​

Answers

Answer

ANGLE SIDE SIDE

Step-by-step explanation: Because you have an angle side side hope this helps

What is the product of 5.9 x 103 and 5.9 x 104 expressed in scientific notation?
What is the product of 5.9 x 10^3 and 5.9 x 10^4 expressed in scientific notation

Answers

The answer to this question would be 5687

what laws of exponent they are:

1. (x-²)-³ = x⁶
2. (a^m)^n = a^m^n
3. a⁰ = 0

Answers

Answer:

The laws of exponents are:

a)  (x^n)*(x^m) = x^(n + m)

b)  (x^n)/(x^m) = x^(n - m)

c)  (x^n)^m = x^(n*m)

Now, let's see the given equations:

1) (x-²)-³ = x⁶   (true)

Here we se the third law, the "c"

(x^(-2))^(-3) = x^(-2*-3) = x^6

Then this equation is correct.

2)  (a^m)^n = a^m^n   (false)

This law does not exist, this is false.

An example of why this is false is:

Let's use the values:

a = 2, m = 1, and n = 2

then, in the left side we have:

(2^1)^2 = (2)^2 = 4

And in the right side we have:

2^(1^2) = 2^(1) = 2

We can see that we have different things in the left side than in the right side, then that relation is false.

3)  a⁰ = 0  (false)

Let's rewrite this as:

a^0 = a^(n - n)

Now we can use the second law to rewrite this as:

a^(n - n)  = (a^n)/(a^n)

And we have a number divided by the exact same number, we know that this is equal to 1, then:

(a^n)/(a^n) = 1

this means that:

a^0 = 1.

Then this is also false.

The only correct option is the first one.

chile yall i need HALP

Answers

Answer:

indian ocean

Step-by-step explanation:

Indian Ocean ..............

Need help with this question

Answers

Answer:

Correct answer is no. 1

Step-by-step explanation:

Answer:

Choice A, or the first choice, should be the answer

Step-by-step explanation:

By using the process of elimination, you can cross out choices B and C because the speed limit is 30.

The speed limit is 30, thus your speed can be at 30 mi/h.

Choice A is the last and the correct answer.

What does the open circle and closed circle mean?? ​

Answers

The open circle is greater than or less than, closed circle is less than or equal to or greater than equal to

Answer:

the open circle is greater than the closed circle is less than.

In the diagram, if KL=10, and MK=2, and JM=6 determine the value of MN. Show your work or explain how you arrived at your answer.

Please help

Answers

Answer:

okffxddg you can see the attached file is scanned

1. A car used be of a gallon of gas to drive of a mile. At this rate, how many miles can the car travel using 1 gallon of gas? ​

Answers

Answer:

I think it is 16

Step-by-step explanation:

64÷4=16

4/64of gas=1 mile so I divided 64 by 4

Debbie rides her bike to school every day. On Monday, she rode 1.5 miles to school in 10
minutes. On her way home, she took a different route through a park, and rode 3 miles in 15
minutes. On which route did Debbie ride at a faster pace?

Answers

Answer:

the second route

Step-by-step explanation:

1.5/10=0.15 miles/minute

3/15=0.2 miles/minute

0.2 is faster than 0.15

Valerie deposits $1,900 in an account that
earns 3% interest, compounded quarterly.
How much is in the account after six years?

Answers

Answer:

$2273.19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Compound Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

A is final amountP is principle amountr is raten is compound ratet is time (in years)

Step-by-step explanation:

Step 1: Identify Variables

P = $1900

r = 3% = 0.03

n = 4

Step 2: Solve for A

Substitute [CIRF]:                    [tex]\displaystyle A = 1900(1 + \frac{0.03}{4})^{4(6)}[/tex](Parenthesis) Divide:              [tex]\displaystyle A = 1900(1 + 0.0075)^{4(6)}[/tex](Parenthesis) Add:                  [tex]\displaystyle A = 1900(1.0075)^{4(6)}[/tex](Exponents) Multiply:             [tex]\displaystyle A = 1900(1.0075)^{24}[/tex]Exponents:                             [tex]\displaystyle A = 1900(1.19641)[/tex]Multiply:                                  [tex]\displaystyle A = 2273.19[/tex]

A recipe calls for 2 1/3 cups of flour to make a batch of cookies. How many batches of cookies can be made if you have 11 2/3 cups of flour? Write a multiplication and division problem in the table below and solve the problem.

Write a Multiplication problem.

Write a Division problem.

Number of batches of cookies

Answers

Answer:

Good question

Step-by-step explanation:

I need help with this question?

Answers

Answer:

31

do 180-149 which gets you 31, 31 is the angle inside the triangle closest to 149. since the those 2 sides are congruent it makes the 2 angles congruent. then x=31

f(x)=-3x²+2x-5
What is f(-1)?​

Answers

Answer: f (-1) = 9

Step-by-step explanation:

You just have to substitute -1 for x

f (-1) = -3 (-1)^2 + 2 (-1) - 5

f (-1) = 3^2 + -2 - 5

f (-1) = 9 - 7

f (-1) = 2

I think I'm correct so I hope this helped!

[tex]f(-1)=-3.(-1)^{2} +2.(-1)-5\\=\\-3.1+(-2)-5\\-3+(-2)-5\\-5-5=-10[/tex]

2 out of 5 runners finished in fewer than 10 minutes. What percent of the runners finished in fewer than 10 minutes?

Answers

Answer:

40%

Step-by-step explanation:

2/5 can be converted to 40/100 by multiplying the numerator and denominator by 20.

40/100 is equivalent to 40%.

PL EA S E H E L P M E! !

Answers

the answer is c ................

A medication cost $4.40 per pound. As the assistant to the accountant, find the cost per kilogram. (1 kg ≈ 2.2 lb)

Answers

Answer:

i believe its 2$ per pound but not completely sure

Step-by-step explanation:

what is an irrational number between 6 an 8 ​

Answers

Answer:

6.128054

Step-by-step explanation:

Use the replacement set to find the solution set to the inequality c+5<16 {10,11,12}

Answers

Answer:

the answer would be 10

Step-by-step explanation:

:)))

Write the number as a percent.
1/5

Answers

Answer:

1/5 = 20%

Step-by-step explanation:

Let x be the percentage.

[tex]\frac{1}{5} * \frac{x}{100}[/tex]

100 = 5x    Cross multiply

x = 20%

Hope this helps!

Answer: 20%

Step-by-step explanation:  1/5=0.2     0.2x100=20    20%

3. Select all answers that would create a dilation.
O (x,y) -----> (2x,4y)
O (x,y) -----> (-2x,-2y)
O (x,y) -----> (92x,2y)
O (x,y) -----> (3x,3y)
O (x,y) -----> (1.2x,1.2y)

Answers

Answer:

Option B,D and E will create dilation.

Step-by-step explanation:

Dilation is the enlarging or shrinking of an element using a common scale factor.

If the same factor is multiplied by the elements, the dilation is created.

Looking at the options:

Option A

O (x,y) -----> (2x,4y)

if we take 2 as common we get  2 (x,2y) not the original coordinates (x,y). So, no dilation.

Option B

O (x,y) -----> (-2x,-2y)

if we take -2 as common we get -2(x,y) which is same as original coordinates. It would create dilation.

Option C

O (x,y) -----> (92x,2y)

if we take 2 as common we get (46x,y) not the original coordinates (x,y). So, no dilation.

Option D

O (x,y) -----> (3x,3y)

if we take 3 as common we get 3(x,y) which is same as original coordinates. It would create dilation.

Option E

O (x,y) -----> (1.2x,1.2y)

if we take 1.2 as common we get 1.2(x,y) which is same as original coordinates. It would create dilation.

So, Option B,D and E will create dilation.

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