Polynomials

     

$$\oxeda^3-b^3 = (a- b)(a^2+ ab +b^2)\\ oxeda^3+ b^3 = (a+ b)(a^2- ab +b^2)$$

Now lets look at your question.

Bạn đang xem: Polynomials

$$\x^6+y^6\\ = (x^2)^3+(y^2)^3\\ = <(x^2)+(y^2)><(x^2)^2-(x^2y^2)+(y^2)^2>\\ = <(x^2)+(y^2)><(x^4-(x^2y^2)+(y^4)>\\ = \\$$



*
+122761 

x^6 + y^6 ..... This is the sum of two cubes

First......take the cube root of both things = x^2 and y^2 write them in parentheses with a plus between them

Then...in the next set of parentheses, write the square of the first thing above, then write the opposite sign of the one in the first phối of parentheses. Then multiply the two terms in the first phối of parentheses together. Finally, write a plus & then the square of the second term in the first phối of parentheses. So we should have this.....

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


CPhill Apr 6, 2015
 #3

0

ty was confused why it was (x^2+y^2)


Guest Apr 6, 2015
 #4
*
+117410 
+10
Best Answer

These are 2 factorizations that you are supposed to memorized

$$\oxeda^3-b^3 = (a- b)(a^2+ ab +b^2)\\ oxeda^3+ b^3 = (a+ b)(a^2- ab +b^2)$$

Now lets look at your question.

$$\x^6+y^6\\ = (x^2)^3+(y^2)^3\\ = <(x^2)+(y^2)><(x^2)^2-(x^2y^2)+(y^2)^2>\\ = <(x^2)+(y^2)><(x^4-(x^2y^2)+(y^4)>\\ = \\$$


Melody Apr 7, 2015
Post New Answer

6 Online Users


*

Top Users


*
+122761 CPhillmoderator
*
+117410 Melodymoderator
*
+36417 ElectricPavlov
*
+32967 Alanmoderator
*
+26286 heureka
*
+23186 geno3141
*
+13680 asinusmoderator
*
+9448 MaxWong
*
+4165 zegroes
*
+3657 Probolobo
*
+3118 adminadministrator

Sticky Topics


Some guidelines for question askers.

Xem thêm: Gièm Pha Hay Dèm Pha Hay Gièm Pha ", Từ Điển Tiếng Việt


What is Happening 5
Again a number puzzle. Multiply in writing.
Loads of fun printable number and xúc tích và ngắn gọn puzzles
¤¤¤¤Welcome to lớn thietkewebshop.vn¤¤¤¤
How to display latex properly
Feature Questions 1 - Started 8th May 19
How to lớn upload a picture.
If a question is ticked that does not mean you cannot continue it.

Xem thêm: Giảm Giá Sữa Chua Ba Vì Giá Bao Nhiêu, Sữa Tươi Ba Vì


Should you consider anything before you answer a question?
Geometry Thread
PUZZLES
LaTex Coding
https://www.desmos.com/calculator/bsh9ex1zxj
Historical post!
What is happening? Wrap #4
Great Questions lớn Learn From 2
Great Answers to Learn From
Reference Material
Information for new people.

About


Links


Contact


Withdraw cookie consent
thietkewebshop.vn thietkewebshop.vn.0rechner.de thietkewebshop.vn.es thietkewebshop.vn.fr thietkewebshop.vn.in thietkewebshop.vn.ru