SOLUTION: Good morning guys. My question: Simplify (4x^2-y^2)/(2x+y) ___________ _ 8x^3-y^3 I factored each term (2x-y)(2x+y)/(2x+y) ____

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Question 268884: Good morning guys.
My question:
Simplify (4x^2-y^2)/(2x+y)
_____________
8x^3-y^3
I factored each term
(2x-y)(2x+y)/(2x+y)
_______________
(2x+y)(2x-y)(2x+y)
Cancelled out the like terms.
I believe my answer is either
1
_____________
4x^2+2xy+y^2
Or
4x^2-2xy+y^2

Any help is appreciated! Thank you!
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Simplify (4x^2-y^2)/(2x+y)
_____________
8x^3-y^3
I factored each term
(2x-y)(2x+y)/(2x+y)
_______________
(2x+y)(2x-y)(2x+y) **** = (2x-y)*(4x^2 + 2xy + y^2)
--------------------
--------------------
Cancelled out the like terms.
I believe my answer is either
1
_____________
4x^2+2xy+y^2
-------------- This is correct, tho I don't see how you got it.
=
--------------
Or
4x^2-2xy+y^2 This is close, not correct.

SOLUTION: Good morning guys. My question: Simplify (4x^2-y^2)/(2x+y) ___________ _ 8x^3-y^3 I factored each term (2x-y)(2x+y)/(2x+y) _____