SOLUTION: I just need help with the process on how to solve problems like this. (X^2 - 6xy+9y^2)(X^2-5xy+6y^2)(x+2y) ___________ ___________ ___________ (X^2-4y^2) (3y-x) (x^2-9y^2)

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Question 921505: I just need help with the process on how to solve problems like this.
(X^2 - 6xy+9y^2)(X^2-5xy+6y^2)(x+2y)
____________________________________
(X^2-4y^2) (3y-x) (x^2-9y^2)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
I just need help with the process on how to solve problems like this.
(X^2 - 6xy+9y^2)(X^2-5xy+6y^2)(x+2y)
____________________________________
(X^2-4y^2) (3y-x) (x^2-9y^2)
=============
Factor where you can::
[ (x-3y)^2(x-6y)(x+y)(x+2y)] / [(x-2y)(x+2y)(-1)(x-3y)(x-3y)(x+3y)]
---------
Cancel any factors common to numerator and denominator::
---------
[(x-6y)(x+y)] / [(x-2y)(-1)(x+3y)]
-------------------
= (x^2 -5xy - 6y^2)/[-(x^2 + y - 6y^2)]
===========================================
Cheers,
Stan H.
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