2b²c²+2c²a²+2a²b²-a^4-b^4-c^42x²+5xy-4y²（y+1)^4+(y+3)^4-272(xy-1)²+（x+y-2)(x+y-2xy)x^4-x^3+4x²+3x+5

2b²c²+2c²a²+2a²b²-a^4-b^4-c^42x²+5xy-4y²（y+1)^4+(y+3)^4-272(xy-1)²+（x+y-2)(x+y-2xy)x^4-x^3+4x²+3x+5
2b²c²+2c²a²+2a²b²-a^4-b^4-c^4
2x²+5xy-4y²
（y+1)^4+(y+3)^4-272
(xy-1)²+（x+y-2)(x+y-2xy)
x^4-x^3+4x²+3x+5

2b²c²+2c²a²+2a²b²-a^4-b^4-c^42x²+5xy-4y²（y+1)^4+(y+3)^4-272(xy-1)²+（x+y-2)(x+y-2xy)x^4-x^3+4x²+3x+5
2b²c²+2c²a²+2a²b²-a^4-b^4-c^4
=-（a-b-c）（a+b-c）（a-b+c）（a+b+c）
2x²+5xy-4y²
此式无法分解
（y+1)^4+(y+3)^4-272
=2（y-1）（y+5）（y^2+4y+19）
(xy-1)²+（x+y-2)(x+y-2xy)
=(x-1)^2(y-1)^2
x^4-x^3+4x²+3x+5
(x^2-2x+5)(x^2+x+1)
~~~~~~~~~~~求采纳~~~~~~~~~~~