Mariann B.

asked • 06/30/16# I need the equation for an algebraic answer

X

^{6 _ }y^{6}
More

## 2 Answers By Expert Tutors

Degonimia H. answered • 07/01/16

Efficient work at reduced prices

1 Assignments

2 Homework

3 Online courses

4 Online Exams

5 Classroom exams

In subjects

1 Finance

2 Statistics

3 Economics

4 Accounting

5 Operations Research

6 Econometric

7 Investments

8 Mathematics

9 Physics

10 Chemistry

11 Probability

12 Business

13 Project Management

14 C programming

15 C++ Programming

Work related to

Minitab

Excel

SPSS

R language

If you have work related to other subjects, I have a bunch of tutors for other subjects at very low prices.

If you wish for live tutoring. I have a separate platform for that at rate 10 dollars per hour.

Perks

1 you can pay me after getting your work done.

2 My fees will be very less as compared to Wyzant and other tutoring sites.

You can contact me through

Facebook search

Wei-Chyung Wang

Mail Id (Gmail account)

ijddjebdyxtvbd

Kik messenger

imessage

You can send a message on Wyzant with your details

1 Your name

2 Subject

3 Work details

4 Contact number

5 Mail id

I am running workhelp site since 10 years. I have worked as a professor for 10 years and now with my team working to help students across the globe in their studies. We are working at other sites like chegg tutors as registered tutors.

Payment will be through Paypal.

Alan G. answered • 06/30/16

Successful at helping students improve in math!

Mariann,

Do you need to factor this polynomial? Here is how to do it.

You can recognize this as a difference of squares or a difference of cubes:

x

^{6}− y^{6}= (x^{2})^{3}− (y^{2})^{3}or (x^{3})^{2}− (y^{3})^{2}.I will show you how to do this both ways, because it is interesting.

Here are the formulas for factoring you will need:

a

^{3}− b^{3}= (a − b)(a^{2}+ ab + b^{2})a

^{3}+ b^{3}= (a + b)(a^{2}− ab + b^{2})a

^{2}− b^{2}= (a − b)(a + b)x

^{6}− y^{6}= (x^{2})^{3}− (y^{2})^{3}= (x^{2}− y^{2})(x^{4}+ x^{2}y^{2}+ y^{4}) = (x − y)(x + y)(x^{4}+ x^{2}y^{2}+ y^{4})and

x

^{6}− y^{6}= (x^{3})^{2}− (y^{3})^{2}= (x^{3}− y^{3})(x^{3}+ y^{3}) = (x − y)(x^{2}+ xy + y^{2})(x + y)(x^{2}- xy + y^{2}).These answers are both correct, but the second one is completely factored, while the first one is not. If you compare the two, you can notice that

x

^{4}+ x^{2}y^{2}+ y^{4}= (x^{2}+ xy + y^{2})(x^{2}- xy + y^{2}).This is extremely hard to factor by yourself, so the best way to approach a problem like this one is to factor the original polynomial as a difference of squares. This is one of those questions where there are two ways of looking at it, but one of them wins out as getting the answer with less pain and suffering, and we all want that.

I hope this helps you, although it is quite a lot of explanation. Feel free to post a reply if you need more help with it.

## Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.

Most questions answered within 4 hours.

#### OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.

Mark M.

06/30/16