因式分解(x^2+xy+y^2)-4xy(x^2+y^2)

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/20 05:13:01

(x^2+xy+y^2)^2-4xy(x^2+y^2)
=[(x^2+2xy+y^2)-xy]^2-4xy[(x^2+y^2+2xy)-2xy]
=[(x+y)^2-xy]^2-4xy[(x+y)^2-2xy]
=(x+y)^4-2xy(x+y)^2+(xy)^2-4xy(x+y)^2+8(xy)^2
=(x+y)^4-6xy(x+y)^2+9(xy)^2
=[(x+y)^2]^2-6xy(x+y)^2+9(xy)^2
=[(x+y)^2-3xy]^2
=(x^2+2xy+y^2-3xy)^2
=(x^2-xy+y^2)^2

因式分解xy+y平方+x-y-2 因式分解：x×x-xy-2y×y-x-y 因式分解:-x^2+2xy-y^2 xy+2x+y+2因式分解因式分解:x^2y+xy^2=? 因式分解 2x^+xy-6y^ x^2-7xy+6y 因式分解（xy-x-y+1)^2因式分解因式分解:8(x-2y)-x(7x+y)+xy. 因式分解4xy^2-4x^2y-y^3 因式分解,x²y²-4+xy²-2y. y^3+xy^2+2xy+x^2-1 因式分解