http://www.savagehost.com/simplify-the-following-expression-to-prim-factors.html Just another WordPress weblog Tue, 02 Mar 2010 23:13:58 -0600 http://wordpress.org/?v=2.8 hourly 1 http://www.savagehost.com/simplify-the-following-expression-to-prim-factors.html/comment-page-1#comment-2770 s3rayah Sat, 04 Jul 2009 02:29:11 +0000 http://www.savagehost.com/simplify-the-following-expression-to-prim-factors.html#comment-2770 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 ) . 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 ) .

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