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

chile yall i need HALP

Answers

Answer:

indian ocean

Step-by-step explanation:

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

please help me with this question!

Answers

Answer: 1.113
Explanation:

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.

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

HELP ME PLEASE!!! Asap

Solve for the proportion 42/21 = 6/d

Answers

d = 6/42121 or d = 0.000142447

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

Answers

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

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

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

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:

:)))

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.

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

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:

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]

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.

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

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:

what is an irrational number between 6 an 8 ​

Answers

Answer:

6.128054

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 :)  

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

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

Answers

Answer:16

Step-by-step explanation:

U just mu

PLEASE HELP ILL GIVE YOU BRAINLIEST

Answers

I think it is letter B

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%.

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]

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

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)

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!

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:

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.

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.

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%

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