人教版八年级数学上册因式分解综合练习题大全67.docx
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人教版八年级数学上册因式分解综合练习题大全67.docx
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人教版八年级数学上册因式分解综合练习题大全67
12a3b2c+4ab38bx+5bym(z-a)-n(z-a)
20m4n3-14m3n36x2y4z-2xy3p(y-c)+q(y-c)
10a(y-2)+4b(y-2)16x6y6z+18x5y2a4b2+20a4b3
64y2-x2(x-p)2-(x+q)2a2-100b2
b4-y4a3b-4aba2-64
1
a2-—b2x2y-y-m2+81
64
x2+4x+416a2-8a+125x2+60xy+36y2
x2-6xy+9y2-9a2-6ab-b27bx2-14bxy+7by2
(a-b)2+8(a-b)+1636(a+b)2-72(a+b)+369m2+42mn+49n2
6a3b2c-4a4b49bx-10by7m(y-a)-3n(y-a)
2mn3-16m4n6x3yz+16xy8p(z2-a2)+q(z2-a2)
10a(y-1)+5b(y-1)12x6yz-8x4y516ab3+8ab
a2-25x225(x+p)2-36(x+q)2a2-100b2
d4-y4a3b-ab9a2-25
1
a2-—b2x2y-64y-b4+256
4
y2+8y+1664c2-96c+369x2+36xy+36y2
x2+8xy+16y2-25a2-10ab-b26nx2+12nxy+6ny2
(b-c)2+12(b-c)+3681(m-n)2+36(m-n)+49m2+30mn+25n2
18a6bc+14a3b69mx+4mym(x-c)-7n(x-c)
2m4n+20mn2xyz-18x3y24p(x-c)+2q(x-c)
a(x2-2)+(x2-2)16xyz-10xy12a4b+4a4b
9y2-9x2(x-p)2-4(x-q)24a2-64b2
c4-y4a3b-ab9a2-16
1
a2-—b2x2y-36y-y4+1
49
y2+10y+2516d2-48d+3636x2+60xy+25y2
x2+6xy+9y2-64a2-16ab-b29dx2-18dxy+9dy2
(x-y)2-6(x-y)+94(a+b)2-24(a+b)+364m2-24mn+36n2
20a5b6c+2a6b45ax-7ay2m(z-b)-n(z-b)
14mn+14m2n212x2yz+18xy3p(z3-a)+9q(z3-a)
3a(x2-5)-6b(x2-5)4xy4z+4xy8ab3+12ab4
4c2-x225(x-p)2-25(x-q)216a2-b2
81d4-y4a3b-16ab16a2-49
1
a2-—b2x2y-y-n4+16
4
c2-10c+254c2-24c+364x2+28xy+49y2
x2+20xy+100y2-100a2-20ab-b28ax2-16axy+8ay2
(x-y)2+4(x-y)+481(a+b)2+18(a+b)+14m2-28mn+49n2
4a4b2c-6a3b6dx-10dym(z-a)+n(z-a)
20mn3+4m3n218xyz-12x2yp(y-b)-q(y-b)
9a(z-2)+b(z-2)4xy4z-14xy18ab2+12ab3
a2-4x2(x-p)2-(x-q)2a2-4b2
a4-y4a3b-aba2-49
1
a2-—b2x2y-y-x2+1
36
d2-8d+164x2+8x+436x2-24xy+4y2
x2+10xy+25y2-25a2-10ab-b25cx2+10cxy+5cy2
(b+c)2-10(b+c)+2549(x-y)2-14(x-y)+125m2-40mn+16n2
12a3bc-2ab8nx+3ny7m(z-c)+n(z-c)
10m3n+6mn12xy2z-20xy3p(x-c)-2q(x-c)
4a(x-4)+b(x-4)18xy6z-14xy42ab+16a4b
y2-x2(x-p)2-4(x-q)24a2-b2
81d4-y4a3b-ab4a2-49
1
a2-—b2x2y-y-b4+81
49
y2-4y+425a2-30a+925x2+50xy+25y2
x2-16xy+64y2-81a2+18ab-b22ax2-4axy+2ay2
(x-y)2+12(x-y)+369(a+b)2+30(a+b)+2525m2+40mn+16n2
14abc+14ab6bx+9bym(z-b)+8n(z-b)
6m4n3-16mn48xyz-16x2y38p(y3-c2)+5q(y3-c2)
a(z-4)+9(z-4)12xy4z+20xy416a2b3-16a3b
c2-25x24(x+p)2-9(x+q)249a2-100b2
c4-y4a3b-100aba2-49
1
a2-—b2x2y-100y-x2+81
81
c2-4c+464y2+16y+136x2-24xy+4y2
x2+10xy+25y2-9a2+6ab-b29dx2-18dxy+9dy2
(m+n)2-12(m+n)+3636(a-b)2-36(a-b)+925m2-60mn+36n2
10a3bc+12a4b46bx+8bym(y-c)+7n(y-c)
8mn3-16mn24xy3z-2xy44p(x3-c3)+4q(x3-c3)
7a(z-5)+(z-5)14xyz+6x3y6a3b+20ab
4d2-100x2(x-p)2-16(x-q)249a2-36b2
b4-y4a3b-aba2-25
1
a2-—b2x2y-81y-x4+16
4
a2-4a+416a2+32a+1616x2+48xy+36y2
x2-6xy+9y2-36a2+12ab-b29ax2-18axy+9ay2
(x+y)2-8(x+y)+1664(x-y)2-48(x-y)+916m2-40mn+25n2
20abc-12a2b25nx-7ny4m(y-c)-n(y-c)
2m2n4+16mn48xyz-12x4yp(x3-c2)-10q(x3-c2)
6a(y2-6)-b(y2-6)6xyz-12x6y318ab2+20ab2
b2-49x2(x+p)2-(x+q)2100a2-b2
x4-y4a3b-aba2-16
1
a2-—b2x2y-25y-y2+16
4
d2+4d+481x2-108x+369x2-42xy+49y2
x2+6xy+9y2-81a2-18ab-b24cx2+8cxy+4cy2
(m+n)2-4(m+n)+464(a-b)2+96(a-b)+369m2-42mn+49n2
12abc-18a4b3dx+3dym(y-a)+9n(y-a)
14m3n+12m2n42xyz-6x2yp(x-b)-q(x-b)
4a(y2-7)-8b(y2-7)6xyz+2x4y6a2b+14ab2
36d2-25x2(x-p)2-(x+q)2a2-49b2
a4-y4a3b-9ab9a2-36
1
a2-—b2x2y-49y-b4+16
25
a2+12a+364d2-16d+1636x2-72xy+36y2
x2-10xy+25y2-4a2-4ab-b27ax2+14axy+7ay2
(x-y)2+8(x-y)+1636(x+y)2-60(x+y)+2516m2-56mn+49n2
4a2b3c-16a4b29mx+6mym(z-c)+9n(z-c)
10mn2-6m4n314xyz-12xy2p(z-b2)+q(z-b2)
3a(x-7)+b(x-7)18x4yz+16x6y20a3b4-16ab4
y2-4x236(x-p)2-16(x-q)2a2-b2
x4-y4a3b-36ab9a2-36
1
a2-—b2x2y-9y-b4+16
81
x2-8x+1649y2+42y+916x2-16xy+4y2
x2+18xy+81y2-49a2-14ab-b27ax2+14axy+7ay2
(a-b)2-10(a-b)+2516(b-c)2+16(b-c)+449m2+84mn+36n2
18a5bc+16ab43dx-4dy8m(x-b)+n(x-b)
18mn2-12mn214x2yz-2xyp(y-c)-q(y-c)
9a(z2-3)-2(z2-3)18xy6z+4xy34a4b+16a3b3
y2-100x216(x+p)2-4(x-q)2a2-b2
81b4-y4a3b-ab4a2-100
1
a2-—b2x2y-36y-a4+1
49
d2+12d+3681b2+108b+369x2+36xy+36y2
x2+8xy+16y2-49a2-14ab-b22cx2+4cxy+2cy2
(a-b)2-6(a-b)+94(b-c)2-20(b-c)+2516m2+32mn+16n2
16a6bc-6ab9bx-7by9m(y-c)-n(y-c)
8m3n3-6mn2x2yz+2x3y3p(z3-c2)-6q(z3-c2)
8a(x-3)-(x-3)6xyz-14xy46ab4+18a2b
c2-x225(x+p)2-9(x+q)2a2-b2
a4-y4a3b-4aba2-81
1
a2-—b2x2y-y-y2+1
81
a2-4a+436y2-72y+364x2+8xy+4y2
x2-10xy+25y2-25a2+10ab-b210bx2-20bxy+10by2
(x-y)2-12(x-y)+369(a+b)2-12(a+b)+49m2+12mn+4n2
16a3b2c-10a2b42nx-6nym(y-a)-7n(y-a)
2m3n+12mn14xy4z-10xy2p(z-b)-9q(z-b)
a(x-3)-(x-3)6x2y5z+18xy4a2b-18ab
4b2-4x216(x-p)2-4(x+q)29a2-b2
81c4-y4a3b-49aba2-49
1
a2-—b2x2y-y-n4+256
36
c2+6c+99b2+30b+2549x2-56xy+16y2
x2-10xy+25y2-36a2-12ab-b24dx2+8dxy+4dy2
(a-b)2+10(a-b)+2525(m-n)2-50(m-n)+2549m2+84mn+36n2
2abc+18ab2cx-5cy8m(x-b)-n(x-b)
20m2n2-20m4n18x3yz+6xy2p(y2-b)-3q(y2-b)
a(y2-6)-6b(y2-6)6xyz+8x5y212ab3-8ab
9b2-49x2(x-p)2-16(x-q)264a2-49b2
b4-y4a3b-aba2-4
1
a2-—b2x2y-y-b2+16
81
x2-8x+164a2+20a+259x2-12xy+4y2
x2-8xy+16y2-36a2+12ab-b29nx2+18nxy+9ny2
(a-b)2-4(a-b)+425(x-y)2-40(x-y)+1636m2+60mn+25n2
18a2b6c-18ab9ax-10aym(z-a)+7n(z-a)
2m4n2-2m3n220x2y3z+10xy2p(z2-c2)+q(z2-c2)
a(x2-5)-2(x2-5)20x3y5z+2x4y12a2b-12a3b
100a2-x216(x-p)2-(x-q)2a2-b2
c4-y4a3b-49aba2-36
1
a2-—b2x2y-16y-a2+256
4
c2-8c+1664x2+64x+1616x2-24xy+9y2
x2-18xy+81y2-9a2+6ab-b29nx2+18nxy+9ny2
(x-y)2-12(x-y)+3625(a-b)2+40(a-b)+1636m2-48mn+16n2
2ab3c+14a6b5bx-6bym(y-b)-9n(y-b)
6mn-12m2n414x2y4z-2x3yp(y2-c3)-q(y2-c3)
a(z2-9)+b(z2-9)2xyz-4x2y214a2b+10ab3
4a2-x2(x+p)2-4(x+q)225a2-9b2
a4-y4a3b-100ab16a2-1
1
a2-—b2x2y-4y-n4+16
9
x2-12x+3636a2-60a+2549x2+56xy+16y2
x2+20xy+100y2-64a2-16ab-b26cx2+12cxy+6cy2
(x-y)2-4(x-y)+44(x-y)2-24(x-y)+369m2+30mn+25n2
6a3b3c+12ab9mx-3my6m(z-c)+n(z-c)
8mn+20m
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