SOLUTION: hi,I am really worried about this division equation Could someone help me please? (2x^3 + 7yx^3 + 4xy^2 - 3y^3) / (2x + 3y)

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Question 892431: hi,I am really worried about this division equation Could someone help me please?
(2x^3 + 7yx^3 + 4xy^2 - 3y^3) / (2x + 3y)

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

hi,I am really worried about this division equation Could someone help me please?
(2x^3 + 7yx^3 + 4xy^2 - 3y^3) / (2x + 3y) 


It appears you meant: %282x%5E3+%2B+7yx%5E2+%2B+4xy%5E2+-+3y%5E3%29%2F%282x+%2B+3y%29. Notice that the 2nd expression in the DIVIDEND or

NUMERATOR was changed from 7yx%5E3 to 7yx%5E2. 



 	        x^2    +    2xy     -     y^2            

      2x + 3y |2x^3    +   7x^2y    +   4xy^2   -    3y^3

	      |2x^3    +   3x^2y 

                           4x^2y    +   4xy^2						 

                           4x^2y    +   6xy^2 

                                    -   2xy^2   -    3y^3

			            -   2xy^2   -    3y^3	



The quotient for: %282x%5E3+%2B+7yx%5E2+%2B+4xy%5E2+-+3y%5E3%29%2F%282x+%2B+3y%29  is: highlight_green%28highlight_green%28x%5E2+%2B+2xy+-+y%5E2%29%29. This quotient CANNOT be factored further.