人教版初中八年级数学上册因式分解综合练习题大全20.docx

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人教版初中八年级数学上册因式分解综合练习题大全20.docx

人教版初中八年级数学上册因式分解综合练习题大全20

2m2n2-14m3n22xyz+16x4y310p(z-a)-q(z-a)

a(y2-2)-b(y2-2)4xy6z-6xy20a3b3+16a3b2

20a6bc+18ab6mx+8mym(z-a)+n(z-a)

2m2n2+8mn44xy2z-4xyp(x3-c)+q(x3-c)

a(z2-1)+(z2-1)14x2y6z+14x3y20ab+2ab3

14abc+4ab49cx+6cym(z-c)-n(z-c)

20mn+20m4n314xy4z-8x4y2p(x2-c2)+7q(x2-c2)

a(y-8)+b(y-8)16x5y2z+2xy16a3b-8ab

18a4bc+16a3b3ax+9ay8m(z-b)+7n(z-b)

8m4n+12mn314x3yz-16xy2p(z-c)+2q(z-c)

9a(y2-9)+b(y2-9)14xyz+8xy20a2b+16ab3

4a4bc+4ab25nx+5ny8m(x-c)+n(x-c)

8m4n+8mn316xyz-12xy310p(x-b2)+9q(x-b2)

7a(z2-5)+3b(z2-5)12x2y5z+18xy10a4b3-18a2b4

6ab6c+8a6b27dx+7dym(y-b)-n(y-b)

18m2n4-16m3n20xy3z+18xy7p(z-a2)+q(z-a2)

3a(z2-9)+6(z2-9)16x2yz-8xy6a2b3+14a3b

16a3bc-20a5b5ax-10ay10m(z-c)-n(z-c)

8m3n2-4m4n46xyz+12x4yp(z3-b)+q(z3-b)

a(y2-5)-3(y2-5)2x4y5z+18x5y518ab-2a4b

14a5b5c+16ab6mx-2mym(x-c)-7n(x-c)

16m4n2+4mn320x2y4z+20xy2p(z-c)-q(z-c)

a(y-9)-(y-9)8x6y3z-2x5y312a2b2-18a2b

20abc+18a2b36nx+9nym(z-b)+n(z-b)

2m3n4-12m2n10xy3z-20x3yp(x3-c2)-9q(x3-c2)

a(x2-8)-10b(x2-8)20xyz+18x5y10ab+10a3b

16a3bc-12a2b46bx-9bym(z-c)-10n(z-c)

16m2n-14m3n4x3y3z-16xy22p(z-b3)-8q(z-b3)

3a(y2-8)-8(y2-8)14xy2z-14xy214ab-6a4b

8abc+6ab5dx+7dy9m(y-b)-n(y-b)

10mn4+8mn36x4y4z+12xy3p(y2-b)-q(y2-b)

6a(z2-5)-(z2-5)14xyz-18xy318a2b+16a3b

6abc-18a2b6mx-7mym(z-a)-2n(z-a)

8mn-2mn10x2y4z-12x4y4p(x2-a2)-q(x2-a2)

3a(z-4)+(z-4)14x6yz+10xy418a2b-12ab

14a4bc+20ab29dx+5dy10m(z-c)-n(z-c)

2m3n3+16mn12x4y2z-8x3y4p(z-b)+7q(z-b)

3a(z-1)+2b(z-1)2xyz-6xy4ab4-20a2b4

2a4b2c-2ab56ax+8ay9m(y-a)-7n(y-a)

20m4n2+14m3n16xyz-16xy47p(y-b3)-7q(y-b3)

a(z-6)-b(z-6)16xyz-4x3y18ab3-18ab

2abc+16ab210mx+8my10m(y-b)-2n(y-b)

10m4n4+12mn28xyz+12xyp(y-a2)+q(y-a2)

a(x2-7)+(x2-7)6xy4z+16x4y8ab-6a2b

8abc-8ab63dx+6dy5m(x-c)-n(x-c)

18mn2+16m2n212xyz+10xyp(x-c)-8q(x-c)

a(z-7)-9b(z-7)2xy6z+16x3y410a4b-10a4b4

18a3b5c-4a4b26cx+8cy2m(z-c)-n(z-c)

12m2n-10mn218xyz+18x3y3p(x2-c)+q(x2-c)

a(y2-6)+6(y2-6)14xyz-2xy216a2b-18a2b4

10a6b4c+4ab69mx-8mym(y-c)-n(y-c)

6m4n-2mn414x3yz+12x4yp(z-b2)-q(z-b2)

8a(y2-2)-8b(y2-2)8x4y4z+12xy14a4b3+6a2b

4abc-16ab4ax-8aym(y-b)-n(y-b)

6m2n+16mn6xyz+8xy8p(x-b3)-q(x-b3)

a(y-2)-2b(y-2)14x6y3z+4x5y14a2b3-6ab

4ab2c-4a5b59dx+4dym(y-a)-3n(y-a)

10mn+12mn18xyz-16x3y27p(y3-b3)+5q(y3-b3)

3a(x-3)-b(x-3)14xyz-16x6y212ab+8a2b3

8abc+6ab28dx-5dym(x-b)+4n(x-b)

14m2n+6mn4xyz+2x4yp(x-c)+9q(x-c)

9a(x2-7)+8b(x2-7)18x5y2z-18xy34ab4+12ab2

8ab3c+6a4b310nx-5ny2m(y-b)-6n(y-b)

14m3n-12mn12x3y4z-10x4y8p(x3-c3)+2q(x3-c3)

3a(y2-7)+(y2-7)8xy2z+16x2y516a3b-20a3b

14ab5c-8ab67ax-5ay3m(z-a)-n(z-a)

2m3n-4m4n4x2y4z+10xy410p(x-b)-q(x-b)

a(z-3)-b(z-3)14xyz+4x5y214a4b2+2a3b4

18a5bc+12a3b63dx-5dy3m(y-b)+n(y-b)

8mn2+12mn18x4y2z+10x3y10p(y-a)+7q(y-a)

a(x-5)+10b(x-5)8x3y4z+8xy18ab3-12a4b3

12ab5c-14ab2ax-8ay8m(x-c)-9n(x-c)

8m2n3+6m4n6xyz-16xyp(x3-c2)+6q(x3-c2)

8a(y-4)+3b(y-4)20x4yz-4x3y420ab3+18ab4

4a6b5c-6a6b310ax+3ay5m(y-a)+n(y-a)

8m2n+2m2n28xyz+20x2y9p(z3-c)-6q(z3-c)

8a(x2-4)+4b(x2-4)4x3yz+8xy10ab-8a4b2

12a2bc-16ab310cx+4cy6m(z-b)-8n(z-b)

6mn3-18mn22x2y4z-20xy6p(y2-c)-q(y2-c)

6a(y2-6)-3b(y2-6)6xy2z-20xy12a3b-14ab4

8a3bc+16a6b7cx+8cy4m(x-a)-n(x-a)

10m3n+10mn216xyz+4x4y210p(z3-c)+q(z3-c)

9a(z-1)-(z-1)8xy3z-2x5y8ab2+2a2b

18abc-20ab4mx-7my3m(x-b)+n(x-b)

12mn4+6m2n410xy2z-2x3y3p(z3-b)+8q(z3-b)

a(y-4)-(y-4)6x6y5z+6x5y12a4b+6ab3

14abc-10ab37bx-6bym(x-a)-5n(x-a)

8mn3-10m4n18x4y2z+18xy8p(y2-a2)-3q(y2-a2)

8a(x2-5)-b(x2-5)10x5yz-20x2y516a2b3-4ab2

4abc-6ab67nx-2ny10m(x-a)+2n(x-a)

14mn4+14mn314xy4z-18xy3p(y-c)-9q(y-c)

a(z-7)-b(z-7)16xyz-8x5y514a3b4-6a2b

4a6b5c-2a3b68ax+7ay7m(y-b)+9n(y-b)

8mn-18mn414xy2z-8x2yp(x-c2)+10q(x-c2)

a(z2-6)-(z2-6)2x6yz-18xy212a4b+6a3b3

6ab5c-6a2b9dx-4dy6m(y-b)-n(y-b)

14mn2-6m3n314xyz+14xy35p(y-a2)-q(y-a2)

8a(z-2)+(z-2)16xyz+14xy28ab3-8ab4

16ab4c+16ab56ax-2ay2m(z-c)-n(z-c)

4m3n3+20m4n36xy2z-2x3y4p(z-c)+q(z-c)

5a(x-3)+b(x-3)18x2y3z+20x4y2ab2+10a3b3

10abc-16ab10mx-8mym(x-b)+n(x-b)

14mn2+12m2n314xyz+8x2yp(z2-b)-6q(z2-b)

a(x-7)+7b(x-7)4xyz+20xy616ab-4ab

12ab5c+20ab410mx+7my7m(z-c)-n(z-c)

20m2n-14m3n312xy3z-14xy9p(z-b)-q(z-b)

a(y2-5)-b(y2-5)16xyz+6xy2a3b-4a2b2

20a3bc-10a4b5cx+7cym(z-b)+n(z-b)

6m3n2-2mn210xyz-20x2y29p(z-b2)-q(z-b2)

a(x2-7)-2(x2-7)18x6y5z+12x2y52a3b3+20a4b2

20a2bc-6a4b10ax+3aym(x-a)-n(x-a)

10m3n4+6mn38xy2z+2xy10p(x-b3)-4q(x-b3)

a(x-1)+3b(x-1)10x5y5z+14x3y4a4b2+12a2b

10ab5c+16ab62nx+4ny3m(y-b)-n(y-b)

18mn+20mn310xy2z-2x3yp(y-a)-6q(y-a)

a(z2-5)+10(z2-5)14xy4z+2x2y54a3b3-20a3b

6abc-4ab9ax-8aym(x-b)+n(x-b)

14mn+20mn4x4y2z-20xyp(x3-a2)+4q(x3-a2)

2a(x-5)-4(x-5)8xy4z+20x5y16a2b4+2a4b2

12a2bc-20ab6nx-8nym(z-b)-10n(z-b)

18mn3-16mn410x4yz-6x2y3p(z2-c3)-q(z2-c3)

a(z2-9)-7b(z2-9)18x6y2z+14x2y20ab2-6ab

14ab5c-12a6b33ax+5aym(y-b)+n(y-b)

18m4n3+16mn12x4yz-20x2y3p(z3-a3)+3q(z3-a3)

a(x-8)-(x-8)12xyz+10x2y16ab+6a3b2

4abc-4a6b32dx-4dym(y-b)-9n(y-b)

10m2n2-16mn26xy2z-2x4y42p(z-a2)-q(z-a2)

a(y-9)-(y-9)14xyz-2x3y34a4b+2ab

18abc-6ab43bx+9by5m(x-a)+n(x-a)

18m3n-18mn220x2y3z+16xyp(y2-a)-4q(y2-a)

a(x2-8)-2b(x2-8)20xy6z+12x6y12a2b2+8ab4

10ab3c-16a2b58mx+3my3m(x-b)+9n(x-b)

16mn2-18mn18x2yz+16xy3p(x3-a)-7q(x3-a)

a(x2-5)+5(x2-5)18x2y4z+20x2y10ab2+18ab4

2abc-18a3b39mx-2my2m(z-b)+n(z-b)

20m4n2+18m4n26xy4z-20x2y42p(y-c3)-10q(y-c3)

8a(z-6)+5(z-6)8x2y6z-12xy4ab2-12ab2

10a3b3c-20ab7mx-10mym(z-c)-9n(z-c)

6m2n+18m2n18xy4z-6x4y2p(y3-c2)-q(y3-c2)

7a(y2-5)+10(y2-5)10x6yz-14x4y58a2b-2a4b

16ab2c+20a3b8nx+2nym(x-c)-6n(x-c)

8mn3-8m3n10xyz-16xy310p(z-b2)-5q(z-b2)

2a(x-8)+b(x-8)12xyz+20xy56a3b-20ab

16abc+20a3b9dx-8dy4m(y-a)+n(y-a)

6mn+4m3n36x2yz+18xy2p(y-a)+q(y-a)

a(y2-3)+4(y2-3)18x3yz+6xy68a2b+18ab

6a2b5c+12ab5nx+10ny9m(z-c)+4n(z-c)

12m2n2+2mn316xyz-16x4y4p(y2-a3)+5q(y2-a3)

a(y2-3)-b(y2-3)18x2yz-10x5y48a3b2+2ab4

20ab5c+18ab5cx-3cym(z-b)+n(z-b)

10m3n-12m2n16xyz-14xy2p(x-b)-4q(x-b)

a(y2-3)+9b(y2-3)10x3yz-10x2y32a3b+2a2b3

2a3bc-4a4b510mx-7my5m(z-c)+5n(z-c)

18m4n3-14m3n18xy4z+8xyp(y3-a3)-q(y3-a3)

5a(x2-8)-b(x2-8)10xy4z-20xy316a4b2+16ab4

16a5bc+6a5b53bx-4by2m(z-c)+7n(z-c)

18m3n3+14mn14x3y2z+8x3y2p(z2-b3)-10q(z2-b3)

6a(z2-7)-b(z2-7)8xy3z+16x4y4a3b+8ab

2a3b3c-4a3b69bx-5by10m(x-c)+n(x-c)

14mn-10mn46x3yz+8xyp(x3-a)-q(x3-a)

a(z-3)-10b(z-3)4xyz+12x2y34ab+2a3b

12abc-8a2b7mx+8my9m(y-c)+7n(y-c)

4m3n2-6m4n12x2yz-20x4y5p(x-a2)+3q(x-a2)

a(y-8)+8(y-8)10xy5z+12x6y2a4b-10a4b

10a4bc-12ab410dx+3dy5m(z-c)+5n(z-c)

8m2n-16mn44x4y3z+20x2y4p(z3-b2)-8q(z3-b2)

8a(x2-4)+(x2-4)10x3y5z-6x2y8a2b-12ab3

18a6b4c-8ab33mx-5mym(y-b)+n(y-b)

14m2n3-18mn8xy3z-20xy2p(y3-b3)+q(y3-b3)

5a(x-1)-(x-1)14x3y2z+14xy4a2b+14ab

16abc+2ab9mx+2my7m(x-a)+5n(x-a)

6m3n+14m2n20xy2z+20xy3p(y-a2)+7q(y-a2)

3a(z2-4)+6b(z2-4)6x4y6z-8x4y54a4b+6ab3

10a3bc-16a2b56bx+10bym(y-b)-n(y-b)

10m3n-18m4n22x4yz+8x2y3p(x-c)+2q(x-c)

a(y2-3)-3b(y2-3)8x6y6z-16xy12a4b2-16a2b

14abc-6a2b2ax+7ay6m(y-a)-n(y-a)

18mn3-2m4n14x3yz-16x2y310p(z-a3)-q(z-a3)

9a(z2-5)-10(z2-5)2xy6z-4xy8ab4+4ab2

2a5b4c+6a3b4ax+7ay2m(y-b)+9n(y-b)

12mn2-2m2n26x3y2z+8x2y3p(y2-a)+8q(y2-a)

a(y-7)+10(y-7)20xyz+8x2y10ab3+16a2b3

14ab4c-8a2b36mx+6mym(y-c)-n(y-c)

2m4n+16mn312x3yz+10x4yp(x2-c)+q(x2-c)

5a(z-2)+8(z-2)18xy6z-20xy2ab4+20a3b

16a4b4c-14ab63cx+9cym(y-a)-10n(y-a)

20m3n-14m4n218xyz-12xy210p(y-c3)-q(y-c3)

a(x2-9)-b(x2-9)20x5yz-10x5y518a4b2-10a3b

8a4b2c+6ab4ax+6ay9m(y-c)+3n(y-c)

18m4n3-8mn14x4y3z+14x3yp(y2-a2)+10q(y2-a2)

a(x-6)-b(x-6)4xyz+4x5y64ab-20a2b

12ab6c+12a4b6nx+2nym(z-b)+9n(z-b)

10m2n2+18m4n4xyz+14x2yp(x3-c3)+4q(x3-c3)

a(z-5)+3b(z-5)8xy5z-4x2y6a4b-4a3b

10abc+6ab7bx+9bym(y-a)+n(y-a)

10mn-14m3n214xy2z-6xy22p(x-a2)+q(x-a2)

a(y2-6)-8b(y2-6)10x3yz+4xy6a2b3-16ab

16a5bc+14ab57nx-8nym(x-c)+n(x-c)

8m2n3+12mn212x2yz+16x4y37p(x3-a2)-q(x3-a2)

4a(z2-4)-(z2-4)10x4yz+10xy22ab2+18ab

20a2b2c-2ab69cx-3cym(x-b)+5n(x-b)

14mn-16m4n418xy2z+20xy36p(x-b)-5q(x-b)

a(y-2)-10(y-2)10x5y2z-20x2y66ab3+6a4b

20abc-18a6b2bx-6by9m(z-a)+8n(z-a)

20m3n2-14mn12xy3z-12xy6p(z2-b)-8q(z2-b)

a(x-8)+(x-8)4x4y4z+8xy28ab-18ab

16a5bc+20ab29mx-2my9m(x-b)+n(x-b)

12mn-10m4n28x2yz+18xy3p(x3-a)+4q(x3-a)

a(y-8)+b(y-8)20x3yz-18xy16a2b-8ab

16abc+6ab58ax+10ay10m(x-c)-6n(x-c)

8m3n+10mn8xy3z-20x4y2p(y-c2)-8q(y-c2)

2a(x2-6)-(x2-6)18x6y5z+14x3y518a4b4+20ab

8a3b3c-2a4b48mx-6mym(x-a)+8n(x-a)

12m2n+10mn20x3y3z-2x4yp(z3-a3)+q(z3-a3)

a(x2-9)+9(x2-9)10x4y6z-4xy14a4b3+6a3b

10a4bc+14ab57mx+6mym(y-b)+4n(y-b)

8m3n4+8m2n310x2y4z-4xy410p(y3-c)+4q(y3-c)

a(z2-8)+(z2-8)14xy3z-2x5y64ab2-4a2b

2ab5c+16a3b4ax-4ay3m(z-a)+7n(z-a)

2m2n2+18mn20xy4z-20x3y9p(x3-b)+4q(x3-b)

9a(y-2)+b(y-2)4x6yz+12xy6ab4-12a4b

10ab3c-18a5b57dx-9dym(x-b)-n(x-b)

8mn+18m3n12xy4z+18xy10p(z2-c3)+q(z2-c3)

a(x2-6)+10b(x2-6)16xyz+2xy16a4b+16a3b

20abc-4ab37mx-7my8m(z-c)+n(z-c)

16mn-14mn314x2y4z+16xy2p(y2-b3)+5q(y2-b3)

2a(z2-7)+8(z2-7)4x5y2z-18x2y216ab-8ab4

12ab2c+8a4b5nx+10nym(y-c)-n(y-c)

6m3n-6m3n10xyz-4

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