2x^4+3x^3y+6x^2y^2+3xy^3+2y^4http://www.forkosh.dreamhost.com/mimetex…
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"Simplify The Following Expression To Prim Factors:?" was posted on Friday, July 3rd, 2009 at 9:38 pm.
One Response to “Simplify The Following Expression To Prim Factors:?”
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Well, your question is quite hard:P I tried some things and I hope it will help you or the guys who will answer your question. OK so this is what I tried :
2x^4 + 3x^3y + 6x^2y^2 + 3xy^3 + 2y^4 = ( x^2 + y^2 )( 2x^2 + 3xy + 2y^2 ) + 2x^2y^2
And 2x^2y^2 = ( x^2 + y^2 )^2 -x^4 – y^4 , thus the expression became 3( x^2 + y^2 )( x^2 + xy + y^2) – (x^4 + y^4)
Another lead that I followed was :
2x^4 + 3x^3y + 6x^2y^2 + 3xy^3 + 2y^4 = (x + y)^4 + (x – y)(x^3 – y^3) = (x + y)^4 + (x – y)^2( x^2 + xy + y^2 ) .