SOLUTION: (6x^4 + 7x^3y - 3x^2y^2 + 4xy^3 + 4y^4) / (2x + 3y) answer is 3x^3 - x^2y + 2y^3 remainder -2y^4 how though? thanks.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (6x^4 + 7x^3y - 3x^2y^2 + 4xy^3 + 4y^4) / (2x + 3y) answer is 3x^3 - x^2y + 2y^3 remainder -2y^4 how though? thanks.      Log On


   

Question 78920: (6x^4 + 7x^3y - 3x^2y^2 + 4xy^3 + 4y^4) / (2x + 3y)
answer is 3x^3 - x^2y + 2y^3 remainder -2y^4
how though?
thanks.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

(6x^4 + 7x^3y - 3x^2y^2 + 4xy^3 + 4y^4) / (2x + 3y) 
answer is 3x^3 - x^2y + 2y^3 remainder -2y^4
how though? 

        3x3  -  x2y + 0xy2  + 2y3     _
2x + 3y)6x4 + 7x3y - 3x2y2 + 4xy3 + 4y4 
        6x4 + 9x3y
             -2x3y - 3x2y2
             -2x2y - 3x2y2 
                     0x2y2 + 4xy3     
                     0x2y2 + 0xy3
                             4xy3 + 4y4
                             5xy3 + 6y4
                                   -2y4

Edwin