跪求因式分解急~~~~~~~~~1.—2x^5n-1y^n+4x^3n-1y^n+2-2x^n-1y^n+42.x^2+4y^2+9z^2-4xy-12yz+6xz3.3x^2y^2-17mnxy+10m^2n^24.(a^2-3a+2)x^2+(2a^2-4a+1)xy+(a^2-a)y^2^2就是2次方，^3就是三次方4x^3n-1就是4X的3N-1次方能做多少就做

Question

跪求因式分解急~~~~~~~~~1.—2x^5n-1y^n+4x^3n-1y^n+2-2x^n-1y^n+4 2.x^2+4y^2+9z^2-4xy-12yz+6xz 3.3x^2y^2-17mnxy+10m^2n^2 4.(a^2-3a+2)x^2+(2a^2-4a+1)xy+(a^2-a)y^2 ^2就是2次方，^3就是三次方4x^3n-1就是4X的3N-1次方 能做多少就做多少，谢谢你们~~~~~~

Answer 1

1.题目的加减号应该写错了，应该是这样的 2x^5n-1y^n-4x^3n-1y^n+2+2x^n-1y^n+4 =2x^n-1y^n(x^4n-2x^2ny^2+y^4) =2x^n-1y^n(x^2n-y^2)^2 =2x^n-1y^n(x^n+y)^2(x^n-y)^2 2.x^2+4y^2+9z^2-4xy-12yz+6xz =2x^2+8y^2+18z^2-4xy-12yz+6xz-x^2-4y^2-9z^2 =(x-2y)^2+(x+3z)^2+(2y-3z)^2-x^2-4y^2-9z^2 =(x-2y-3z)(x-2y+3z)+(x+3z-2y)(x+3z+2y)+(2y-3z-x)(2y-3z+x) =(x-2y+3z)(x-2y-3z+x+3z+2y-2y+3z-x) =(x-2y+3z)^2 3.x^2y^2-17mnxy+10m^2n^2 =(xy-5mn)(3xy-2mn) 4.(a^2-3a+2)x^2+(2a^2-4a+1)xy+(a^2-a)y^2 =(a-1)(a-2)x^2+(2a^2-4a+1)xy+a(a-1)y^2 =