把下列各式分解因式:x⒉-4mx+8mn-4n⒉x⒊-11x⒉+31x-21x⒍-y⒍-2x⒊+1

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把下列各式分解因式:x⒉-4mx+8mn-4n⒉x⒊-11x⒉+31x-21x⒍-y⒍-2x⒊+1

把下列各式分解因式:x⒉-4mx+8mn-4n⒉x⒊-11x⒉+31x-21x⒍-y⒍-2x⒊+1
把下列各式分解因式:
x⒉-4mx+8mn-4n⒉
x⒊-11x⒉+31x-21
x⒍-y⒍-2x⒊+1

把下列各式分解因式:x⒉-4mx+8mn-4n⒉x⒊-11x⒉+31x-21x⒍-y⒍-2x⒊+1
1.x^2-4mx+8mn-4n^2
=(x-2m)^2-(2m-2n)^2
=(x-2n)(x-4m+2n)
2.x^3-11x^2+31x-21
=x^3-11x^2+10x+21x-21
=x(x^2-11x+10)+21(x-1)
=x(x-1)(x-10)+21(x-1)
=(x-1)(x^2-10x+21)
=(x-1)(x-3)(x-7)
3.x^6-y^6-2x^3+1
=(x^6-2x^3+1)-y^6
=(x^3-1)^2-y^6
=(x^3-1-y^3)(x^3-1+y^3)

D,第一题如果a