SOLUTION: Please help me understand the following: Is the following true or false? Explain. 3x + 2y / 27x^3 + 8y^3 is equal to 1 / 9x^2 - 6xy + 4y^2 Thank you.

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Question 597684: Please help me understand the following:
Is the following true or false? Explain.
3x + 2y / 27x^3 + 8y^3 is equal to 1 / 9x^2 - 6xy + 4y^2
Thank you.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Is the following true or false? Explain.
3x + 2y / 27x^3 + 8y^3 is equal to 1 / 9x^2 - 6xy + 4y^2
--------
3x + 2y / 27x^3 + 8y^3
--------
Factor:
(3x+2y)/[(3x+2y)(9x^2 - 6xy + 4y^2)]
-------
= 1/(9x^2-6xy+4y^2)
========================
Ans: Yes
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Cheers,
Stan H.

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