Question

Factorize
x⁴ + 2x³y – 2xy³ – y⁴

Answer 1



Secondary School 

 

Math 

 

5 points

Factorise x⁴+x²y²+y⁴

Ask for details 

 

Follow 

 

Report

 byDayalwani123p8vdcn 20.10.2018

Answers



mathdude200 

 

Ace

Please find the attachment



4.4

11 votes

THANKS 23

Comments (2) 

 

Report



tysm 



Welcome 

Log in to add a comment

THE BRAINLIEST ANSWER!



smita24 

 

Genius

This can  be factored by completing the square. 

Recall that perfect square trinomial  x²+2xy+y² = (x+y)².

x⁴ + x²y² +y⁴                      first term and 3rd term  are perfect squares

= (x²)² +  x²y² + (y²)²          the middle term should to be 2x²y²  to make                                                              it a perfect square, so add x²y² - x²y² 

= (x²)² +  x²y² + (y²)²  + x²y² - x²y²       combine 2nd and 4th terms

= (x²)² +  2 x²y² + (y²)²  - x²y²      first 3 terms form a perfect square trionomial

= (x² + y²)²- (xy)²                   it is a difference of two squares, now factor

=(x² + y² + xy)(x² + y² - xy)

Answer 2

Answer:

kya likha hai bhai

Explanation:

kuch samajh nahi aa raha