(2x^3+3x^2y+3xy^2+y^3)/(2x+y)

I Need Help WithThis. I Do Not Understand
in Algebra 2 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Algebraic long division:

             x2   +xy     +y2   

2x+y ) 2x3+3x2y+3xy2+y3

             2x3+x2y

                 2x2y+3xy2

                 2x2y  +xy2

                          2xy2+y3

                          2xy2+y3

                                    0

Quotient is x2+xy+y2.

In other words: 2x3+3x2y+3xy2+y3=x2(2x+y)+xy(2x+y)+y2(2x+y)=(x2+xy+y2)(2x+y).

by Top Rated User (1.2m points)

Related questions

39 answers
dy\dx=-(3x^2y+y^2)\2x^3+3xy
asked Nov 20, 2013 in Calculus Answers by anonymous | 7.1k views
1 answer
dy/dx = y^3 + 3x^2y/x^3 + 3xy^2
asked Jul 7, 2016 in Calculus Answers by sumeet singh | 3.7k views
1 answer
Simplify xy-y^2-(3xy+2y^2+y)
asked Aug 7, 2012 in Algebra 1 Answers by anonymous | 1.1k views
1 answer
xy - y^2 - (3xy + 2y^2 +y)
asked Feb 26, 2012 in Algebra 1 Answers by anonymous | 1.3k views
37 answers
solve: dy/dx=3x^2 Y+Y^2 /2x^3+3xy
asked Feb 6, 2014 in Calculus Answers by Jennifer A. Cascaño Level 12 User (101k points) | 5.2k views
1 answer
Simplify the expression (3xy^-3/5x^2y^2)^2
asked Feb 24, 2019 in Other Math Topics by Tallent Level 1 User (300 points) | 1.1k views
1 answer
12x^2y^2-6x^2y+18xy^2/3xy
asked Mar 25, 2014 in Algebra 1 Answers by anonymous | 705 views
1 answer
18x^2y-3xy-3y how do i factor this step by step
asked Mar 29, 2013 in Algebra 1 Answers by anonymous | 737 views
1 answer
how to solve 3xy/4y*5x^2/2y
asked Aug 2, 2012 in Algebra 2 Answers by anonymous | 872 views
1 answer
x^2y+3xy+4y-4=0
asked Mar 26, 2012 in Algebra 2 Answers by anonymous | 1.0k views
1 answer
12x^2y^4-3xy^5+9x^3y^2
asked Nov 22, 2011 in Calculus Answers by anonymous | 971 views
1 answer
(9x squared- 3xy) + (6x-2y)
asked Sep 22, 2011 in Geometry Answers by anonymous | 1.1k views
1 answer
2x^2 + 3xy - 4y^2 x=2 y =-4
asked Apr 13, 2014 in Algebra 1 Answers by anonymous | 606 views
1 answer
-2x^2/3xy^3*2x^-1/y^-1
asked Mar 19, 2014 in Algebra 1 Answers by anonymous | 748 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,285 answers
2,420 comments
734,165 users