(x+2y)^4-3(x^2-4y^2)^4-18(2y-x)^4
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![(x+2y)^4-3(x^2-4y^2)^4-18(2y-x)^4](/uploads/image/z/2769031-55-1.jpg?t=%28x%2B2y%29%5E4-3%28x%5E2-4y%5E2%29%5E4-18%282y-x%29%5E4)
(x+2y)^4-3(x^2-4y^2)^4-18(2y-x)^4
(x+2y)^4-3(x^2-4y^2)^4-18(2y-x)^4
(x+2y)^4-3(x^2-4y^2)^4-18(2y-x)^4
(x+2y)^4-3(x²-4y²)²-18(2y-x)^4
=(x+2y)^4-3(x²-4y²)²-18(x-2y)^4
=(x+2y)^4-3(x+2y)²(x-2y)²-18(x-2y)^4
=[(x+2y)²+3(x-2y)²)][(x+2y)²-6(x-2y)²]
=(x²+4xy+y²+3x²-12xy+12y²)(x²+4xy+y²-6x²+24xy-24y²)
=(4x²-8xy+13y²)(-5x²+28xy-23y²)
=-(4x²-8xy+13y²)(5x²-28xy+23y²)
=-(4x²-8xy+13y²)(x-y)(5x-23y)