(x^3+y^3)^2-4xy[x^4+x^2y^2+y^4-2xy(x^2-xy+y^2)]因式分解
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/09/03 05:34:05
(x^3+y^3)^2-4xy[x^4+x^2y^2+y^4-2xy(x^2-xy+y^2)]因式分解
(x^3+y^3)^2-4xy[x^4+x^2y^2+y^4-2xy(x^2-xy+y^2)]
=(x+y)^2(x^2-xy+y^2)^2-4xy[(x^2+y^2)^2-x^2y^2-2xy(x^2-xy+y^2)]
=(x+y)^2(x^2-xy+y^2)^2-4xy[(x^2+xy+y^2)(x^2-xy+y^2)-2xy(x^2-xy+y^2)]
=(x+y)^2(x^2-xy+y^2)^2-4xy(x^2-xy+y^2)(x^2+xy+y^2-2xy)
=(x^2-xy+y^2)^2[(x+y)^2-4xy]
=(x^2-xy+y^2)^2(x-y)^2
=(x+y)^2(x^2-xy+y^2)^2-4xy[(x^2+y^2)^2-x^2y^2-2xy(x^2-xy+y^2)]
=(x+y)^2(x^2-xy+y^2)^2-4xy[(x^2+xy+y^2)(x^2-xy+y^2)-2xy(x^2-xy+y^2)]
=(x+y)^2(x^2-xy+y^2)^2-4xy(x^2-xy+y^2)(x^2+xy+y^2-2xy)
=(x^2-xy+y^2)^2[(x+y)^2-4xy]
=(x^2-xy+y^2)^2(x-y)^2
因式分解4xy^2-4x^2y-y^3
因式分解:4x^3-4X^2y+xy^2
因式分解:3x^2y+6xy-4x-8
因式分解 3x^2-6xy-4x+8y
因式分解 求过程 x-xy+3y-3x 2x+xy-y-4x+5y-6
因式分解x^4y-x^2y^3+x^3y^2-xy^4
(x^3+y^3)^2-4xy[x^4+x^2y^2+y^4-2xy(x^2-xy+y^2)]因式分解
因式分解xy+y平方+x-y-2
因式分解:x×x-xy-2y×y-x-y
(-3x^y+2xy)-( )=4x^+xy
因式分解 x^2-2xy-3y^2+x+y
x^2+x^2y-xy^2-y^3因式分解