几道初一【因式分解】因式分解:x^2-y^2+x^3-y^3x^2-y^2-z^2-2yz-2x+1

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几道初一【因式分解】因式分解:x^2-y^2+x^3-y^3x^2-y^2-z^2-2yz-2x+1几道初一【因式分解】因式分解:x^2-y^2+x^3-y^3x^2-y^2-z^2-2yz-2x+1

几道初一【因式分解】因式分解:x^2-y^2+x^3-y^3x^2-y^2-z^2-2yz-2x+1
几道初一【因式分解】
因式分解:
x^2-y^2+x^3-y^3
x^2-y^2-z^2-2yz-2x+1

几道初一【因式分解】因式分解:x^2-y^2+x^3-y^3x^2-y^2-z^2-2yz-2x+1
x^2-y^2+x^3-y^3
=(x+y)(x-y)+(x-y)(x^2+xy+y^2)
=(x+y)(x^2+xy+y^2+x+y)
x^2-y^2-z^2-2yz-2x+1
=(x^2-2x+1)-(y^2+2yz+z^2)
=(x-1)^2-(y+z)^2
=(x-1+y+z)(x-1-y-z)