Factor 343x^12 – 125y^27

Answers

Answer 1

Answer:

 (7x - 3) • (49x2 + 21x + 9)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 73x3 -  27

STEP

2

:

Trying to factor as a Difference of Cubes:

2.1      Factoring:  343x3-27  

Theory : A difference of two perfect cubes,  a3 - b3 can be factored into

             (a-b) • (a2 +ab +b2)

Proof :  (a-b)•(a2+ab+b2) =

           a3+a2b+ab2-ba2-b2a-b3 =

           a3+(a2b-ba2)+(ab2-b2a)-b3 =

           a3+0+0-b3 =

           a3-b3

Check :  343  is the cube of  7  

Check :  27  is the cube of   3  

Check :  x3 is the cube of   x1

Factorization is :

            (7x - 3)  •  (49x2 + 21x + 9)  

Trying to factor by splitting the middle term

2.2     Factoring  49x2 + 21x + 9  

The first term is,  49x2  its coefficient is  49 .

The middle term is,  +21x  its coefficient is  21 .

The last term, "the constant", is  +9  

Step-1 : Multiply the coefficient of the first term by the constant   49 • 9 = 441  

Step-2 : Find two factors of  441  whose sum equals the coefficient of the middle term, which is   21 .

     -441    +    -1    =    -442  

     -147    +    -3    =    -150  

     -63    +    -7    =    -70  

     -49    +    -9    =    -58  

     -21    +    -21    =    -42  

     -9    +    -49    =    -58  

For tidiness, printing of 12 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored


Related Questions

Choose the correct domain and range for the graph.
Ty

Answers

Answer:

The answer is C.

Step-by-step explanation:

The domain is the x axis which goes infinitely both ways left and right. The range is the y axis and it starts at -3 and continues downwards infinitely.

THE table shows the number of pages blaine read for different times. How many pages will blaine read in 42 minutes?

Answers

Answer:

[tex]126[/tex] pages

Step-by-step explanation:

From the table, we know that Blaine can read [tex]6[/tex] pages in [tex]2[/tex] minutes. Therefore, Blaine can read [tex]\frac{6}{2}=3[/tex] pages per minute. Therefore, Blaine can read [tex]42*3=126[/tex] pages in [tex]42[/tex] minutes. Hope this helps!

Factorise:
4x^2+4xy+y^2-2^2

Answers

Answer:

Step-by-step explanation:

4x^2 + 4xy + y^2 = (2x + y)^2

and if we assume that 2x + y = A and because 4 = 2^2

A^2 - 2^2 = (A-2)*(A+2) .

Similarity in Right Triangles
Find the value of x.
x
x = [?]
Enter

Answers

Answer:

x=12

Step-by-step explanation:

Find an equation of the line with the given y-intercept and slope m.
4.2, m= -3.7
The equation of the line in

Answers

Answer:

[tex]y=-3.7x+4.2[/tex]

Step-by-step explanation:

Slope intercept form

[tex]y=mx+b[/tex]

here m=-3.7 and b=4.2

[tex]y=-3.7x+4.2[/tex]

image below please help

Answers

All you have to do is count the dots. I get 16 but double check me. My eyes are bad. LOL.

Answer: it’ll be 16

Step-by-step explanation: Just add all the dots :)

1 point
3) Rob grows potatoes in his garden. The weights of the potatoes are
shown in this line plot. Rob bakes the three potatoes that have the greatest
weights. What is the total weight, in pounds, of the three potatoes that Rob
bakes?
Potatoes
XXXX+-100
XXX
Х
Х
colon TXX
1
Weight (pounds)
Key

Answers

Answer:

do You need help?

Step-by-step explanation:

Someone HELP ME PLEASE

Answers

the answers is x≠ℝ I can show you the longer way if you want

I need help 8,9 and 11

Answers

8. The answer is the following; r = 2.4
9. The answer is the following; t = 2.25
11. ‍♀️

Please help one question brainlist

Answers

You answer for X would be 30. At his appears to be a 30, 60, 90 triangle so if X is 30, your other side is times 2 making it 30 times 2 leaving you with the answer 60. The other angle is already a 90 degree angle due to the mark in the bottom corner. I hope this helps!

the dots are in the middle not on the bottom
4) What is the correct exponential form for the expression below? *
4.4.4

Answers

Answer:

option 3: 4^3

Step-by-step explanation:

four is being multiplied 3 times

Answer:

4^3 (option 3)

Step-by-step explanation:

4 x 4 x 4

4 is the number that is being multiplied

3 is the amount of times it is being multiplied

4^3

A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, 1ż cups of granulated sugar, and 4 cups of
frozen raspberries, thawed. How many gallons of water would the recipe call for if a school made 320 servings for
students to eat at lunch?
O 4 gallons
O 8 gallons
O 40 gallons
O 80 gallons
its 4 gallons.

Answers

Answer:

[tex]\huge\boxed{\sf 320\ servings = 4\ gallons}[/tex]

Step-by-step explanation:

1 gallon = 16 cups (STANDARD)

For 10 servings:

10 servings = 2 cups of water

10 servings = 2 / 16 gallons

10 servings = 0.125 gallons

For 320 servings:

10 servings = 0.125 gallons

Multiply both sides by 32

10 * 32 servings = 0.125 * 32 gallons

320 servings = 4 gallons

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer: The answer is 4 gallons.

Step-by-step explanation: A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, 1/1.2 cups of granulated sugar, and 4 cups of frozen raspberries. So the Answer is 4 gallons

Sorry but someone got ride of it so i hade to add it again please mark brainliest :)

(5X10^-7) x (3 x10^6)=

Answers

Answer:

1.5 x 10^0

Step-by-step explanation:

I will give brainiest to whoever answers correctly !!

Answers

Answer:

The country's population decreased about 5.8 % during this time period.

Step-by-step explanation:

Population in 1990 = 164 million

Population in 2010 = 155 million

Determine the percent decrease

The formula used is: [tex]Percent\:Decrease=\frac{Initial\:Value-New\:Value}{New\:Value}\times 100[/tex]

We have :

Initial Value = 164 million (164,000,000)

New Value = 155 million (155,000,000)

Finding percent decrease

[tex]Percent\:Decrease=\frac{Initial\:Value-New\:Value}{New\:Value}\times 100\\Percent\:Decrease=\frac{164,000,000-155,000,000}{155,000,000}\times 100\\Percent\:Decrease=\frac{9,000,000}{155,000,000}\times 100\\Percent\:Decrease=5.8\%[/tex]

So, The country's population decreased about 5.8 % during this time period.

what is the product of 6(x^2)*6x-1/6(x+1)

Answers

Answer:

(x-1)(6x-1)

Step-by-step explanation:

this is the answer i think

If a wholesale price of an item is $250 and the markup is 25%. how much will you pay for the item.
Pls show your work if u answer

Answers

Step-by-step explanation:

250/100= 2.5

2.5×25= 62.5

250+62.5= 312.5

you will pay $312.50

Which lines appear to be parallel?
A А

Answers

Answer:

D

Step-by-step explanation:

The Wellman family is planning a vacation. They will drive from Boston, MA to Tampa, FL (total of 1,336 miles) over 4 days. They will drive 365 miles the first day, 421 miles the second day, and 310 miles the third day. How many miles will they drive on their fourth and final day?


340 miles


430 miles


330 miles


240 miles

Answers

Answer:240 miles

Step-by-step explanation: the reason they have 240 miles left to drive is because on the first day they drove 365 miles so you would subtract that by the total and you get 971 miles then you subtract 421 miles witch is what they drove on the second day by 971 and you get 550 and then you subtract 550 by 310 miles witch is what they drove on day 3 and then you get 240 miles.

If MP is a perpendicular bisector to LN, find each value(picture attached)

Answers

Answer:

f

Step-by-step explanation:

3. Find the perimeter of the diagram. Round to the nearest
hundredth.

Answers

Answer:

I think the perimeter of the diagram is 5 and if you round it like

If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right. (In the example above, the hundredths digit is a 4 , so you would get 51.0 .) To round a number to the nearest hundredth , look at the next place value to the right (the thousandths this time).

32,005,008 in expanded form​

Answers

Answer:(3 x 10000000) + (2 x 1000000) + (0 x 100000) + (0 x 10000) + (5 x 1000) + (0 x 100) + (0 x 10) + (8 x 1)

Step-by-step explanation: Use the place value to help you .

Answer:

30,000,000+2,000,000+5,000+8

Step-by-step explanation:

Expanded form is when you break the number apart and write it as an addition expression. You break it where ever there is isn't a 0

*haven't done this type of math in a while, hope this helps!*

Can someone help me on this orders pairs

Answers

Answer:

C

Step-by-step explanation:

The x's cannot have multiple outputs (y's) but again, the y's can. C is the only answer that doesnt use a repeated input (x) like 1. All the ordered pairs in answer C, has different inputs but the same output, which is still a function.

Acellus
Find the next two terms in this
sequence.
2, 6, 10, 14, 18, [?],[

Answers

the next two terms in the sequence are 22 and 26

Answer:

22,26

Step-by-step explanation:

Just add 4 every time

What is the best first step in solving the equation 3 + = 5?

Answers

Answer:

5 - 3

Step-by-step explanation:

easy way to find out

5-3= your answer in one step

6) 98=4b+ 2c; Find b if c=5

Answers

the answer is b= 22 :)

If you can, give the explanation. I'm finding these very difficult.

Answers

Answer:

Gustavo

Step-by-step explanation:

if anything this looks like 38-19n, if the first term is n=1.

But as that isn't an option, gustavo should be correct, as his sequence would go down by 19 each time (yuki's would go up by 19 each time, not down like the sequence shows)

Lydia ran 10 miles in 120 minutes. How many minutes did she run per mile?

Answers

Answer:

It took Lydia 12 minutes to run each mile

Step-by-step explanation:

120/10

Answer:

12 minutes per mile.

Step-by-step explanation:

For this one all you have to do is divide 120 the total minutes by 10 the total number of miles and you get 12 minutes per mile.

16.
(01.04 LC)

Select the expression that has a value of 82.45.?
0.8245 × 102
8.245 ÷ 101
824.5 × 103
8,245 ÷ 103

Answers

Answer:

B. 8.245 ÷ 101

Step-by-step explanation:

Place value is defined as the numerical value or the position of a digit in a number series.

The place values are ones, tens, hundreds, thousands, ten thousands, hundred thousands and millions respectively.

Each place has a value of 10 times the place to its right.

please help me answer the questions ​

Answers

The answer of this question is going to be B then on 2 A then D

What is the value of the x variable in the solution to the following system of equations? 2x - 3y = 3
5x - 4y = 4​

Answers

Answer:

(0,-1)

value x is 0

value y is -1

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