2(x^2+y^2)^2-8xy(x^2+y^2)+8x^2y^2

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2(x^2+y^2)^2-8xy(x^2+y^2)+8x^2y^2

2(x^2+y^2)^2-8xy(x^2+y^2)+8x^2y^2
2(x^2+y^2)^2-8xy(x^2+y^2)+8x^2y^2

2(x^2+y^2)^2-8xy(x^2+y^2)+8x^2y^2
2(x^2+y^2)^2-8xy(x^2+y^2)+8x^2y^2
=2[(x^2+y^2)^2-4xy(x^2+y^2)+(2xy)^2]
=2[x^2+y^2-2xy]^2
=2(x-y)^4

2(x^2+y^2)^2-8xy(x^2+y^2)+8x^2y^2
设x^2+y^2=a,xy=b
所以
2a^2-8ab+8b^2
=2(a^2-4ab+4b^2)
=2(a-2b)^2
=2(x^2+y^2-2xy)^2
=2{(x-y)^2}^2
=2(x-y)^4

2(x^2+y^2)^2-8xy(x^2+y^2)+8x^2y^2
=2[(x^2+y^2)^2-4xy(x^2+y^2)+(2xy)^2]
=2[x^2+y^2-2xy]^2
=2(x-y)^4

（x^2+xy/x-y)/（xy/x-y)计算 化简：3x^2-[5xy-(x^y-3xy)+4x^2y-8xy] 因式分解:8(x-2y)-x(7x+y)+xy. (-x-y)(x^2+xy+y^2) 化简x^-y^/x^-2xy+y^ 2*(x-y)²(y-x)(xy) x^2-xy/xy-y^2约分 .(x+y-2)(x+y-2xy)+(xy-1)^2 (x^2-xy)y÷y-x/xy怎么做? 代数 x^-y^/ x^-(y-z)^ 除以 x^+2xy+y^/(x-y)^-z^ 乘 x^+xy-xz/x^-xy (x+y)/x /(x-(2xy-y^2)/x) 因式分解 [-xy^2(2x+y)-8xy)-x^2y)]除以2xy=计算 (xy-x²)÷(x²-2xy+y²/xy)×（x-y/x²） x-y/x²÷x²-2xy+y²/xy*（xy-x²） 已知x-xy=8,xy-y=-9,求x+y-2xy的值 X-Y/2X+2Y XY/X+Y² 因式分解：x×x-xy-2y×y-x-y （y/(x^2-xy)+x/(y^2-xy))除以(x-y)/(xy)