分解因式1. x^4+4 2. x^4+y^4+(x+y)^4 3. 4x^2y^2-x^4-y^4-z^4-2(x^2

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分解因式1. x^4+4 2. x^4+y^4+(x+y)^4 3. 4x^2y^2-x^4-y^4-z^4-2(x^2y^2-y^2z^2-z^2x*2) 速度啊啊

1.x^4+4
=x^4+4x^2+4-4x^2
=(x^2+2)^2-(2x)^2
=(x^2+2+2x)(x^2+2-2x)
2.x^4+y^4+(x+y)^4
=x^4+y^4+(x^2+y^2+2xy)^2
=(x^2+y^2)^2-2x^2y^2+(x^2+y^2)^2+4xy(x^2+y^2)+4x^2y^2
=2[(x^2+y^2)^2+2xy(x^2+y^2)+（xy)^2]
=2（x^2+y^2+xy)^2
3.4x^2y^2-x^4-y^4-z^4-2(x^2y^2-y^2z^2+z^2x*2)
=-[x^4+y^4-2x^2y^2-2x^2y^2+z^4+2x^2y^2-2y^2z^2+2z^2x*2]
=-[(x^2-y^2)^2+z^4+2z^2(x^2-y^2)]
=-(x^2-y^2+z^2)^2
再问：第2的答案请详细点我水平较低... 第三的答案是（x+y+z)(x+y-z)(x-y+z)(y+z-x) 你再试试
再答： 2. x^4+y^4+(x+y)^4 =x^4+y^4+【(x^2+y^2）+2xy】^2 =(x^2+y^2)^2-2x^2y^2+(x^2+y^2)^2+4xy(x^2+y^2)+4x^2y^2 =2(x^2+y^2)^2+2x^2y^2+4xy(x^2+y^2) =2[(x^2+y^2)^2+2xy(x^2+y^2)+（xy)^2] =2（x^2+y^2+xy)^2 3,4x^2y^2-x^4-y^4-z^4-2(x^2y^2-y^2z^2-z^2x*2) =-[(x²-y²)²-2x²y²+z^4+2x²y²-2y²z²-2z²x²] =-[(x²-y²)²+z^4-y²z²-z²x²+2xyz²-2xyz²-y²z²-z²x²] =-[(x²-y²)²+z^4-z²(x-y)²-z²(x+y)²] =-{（x+y)²(x-y)²-z²[(x-y)²+(x+y)²]+z^4} =-[(x+y)²-z²][(x-y)²-z²] （x+y)²╲ -z² 十字相乘 =-(x+y+z)(x+y-z)(x-y+z)(x-y-z) (x-y)² ╱ -z²
再问： =(x^2+y^2)^2-2x^2y^2+(x^2+y^2)^2+4xy(x^2+y^2)+4x^2y^2 怎么来的？
再答： x^4+y^4 【(x^2+y^2）+2xy】^2 =x^4+y^4+2x^2y^2-2x^2y^2 =(x^2+y^2)^2-2x^2y^2 =(x^2+y^2)^2+4xy(x^2+y^2)+4x^2y^2 给你分开了！输入好麻烦的

把(x+3y)(3x-4y)-(x-2y)(x+3y)分解因式! 分解因式:x^2-x-4y^2+2y 分解因式x²-4y²+x-2y 分解因式(x+y)^4+(x+y)^2-20 分解因式:(x+y+z)^3+(3x-2y-3z)^3-(4x-y-2z)^3 分解因式(x^2+y^2-z^2)^2-4x^2y^2 分解因式4x^2y^2-(x^2+y^2-z^2)^2 分解因式:9(x-y)*2+12(x*2-y*2)+4(x+y)*2 分解因式x^4-y^4+4x^2+4 分解因式:(x+2y)(x-2y)-(x-4y)(x+4y)+(6y-5x)(6x-5y) 分解因式：(x-2y)(3x+4y)+(2x-4y)(2x-3y) 分解因式计算:x^2(x-y)+(y-x)=?x^3+x^2+1\4x=?(2x+y)^2-(x-2y)^2=?