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Best Answer - Chosen by Voters
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 ) . 100% 1 Vote
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