人教版八年级数学上册因式分解综合练习题大全31.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31
10ab3c-18ab3ax-8ay6m(y-a)-n(y-a)
4m2n4+20mn220x3yz+6xy4p(z-c)+q(z-c)
6a(x-8)+7b(x-8)10xyz+20xy8a3b2+4a4b3
4c2-x29(x-p)2-(x+q)2a2-b2
c4-y4a3b-9aba2-16
1
a2-—b2x2y-y-y2+256
36
d2-4d+481y2-90y+2536x2+72xy+36y2
x2-6xy+9y2-64a2-16ab-b27bx2-14bxy+7by2
(a-b)2-4(a-b)+449(b-c)2-42(b-c)+949m2+56mn+16n2
6a4b4c+2a4b33cx+2cym(x-a)-n(x-a)
2m3n+20m4n412x4yz+14x3y3p(x-b)+q(x-b)
a(y-8)-(y-8)14x6y4z-8xy320a2b2-18a2b2
y2-36x2(x+p)2-(x-q)29a2-16b2
a4-y4a3b-ab9a2-81
1
a2-—b2x2y-y-m2+256
16
y2+12y+364c2-4c+125x2+40xy+16y2
x2+6xy+9y2-4a2-4ab-b27bx2+14bxy+7by2
(m+n)2+10(m+n)+2549(a+b)2+70(a+b)+2516m2-24mn+9n2
18ab2c+2a3b2dx-6dy2m(z-c)-7n(z-c)
2m4n3-4mn2x3yz-4xy2p(y3-b)-q(y3-b)
4a(z2-1)+10b(z2-1)4x5y3z-12x3y26ab+10a4b
25d2-64x236(x-p)2-4(x+q)2a2-16b2
81a4-y4a3b-ab16a2-25
1
a2-—b2x2y-y-x4+81
64
y2+4y+436y2+36y+916x2-56xy+49y2
x2-18xy+81y2-9a2-6ab-b22bx2+4bxy+2by2
(b-c)2-10(b-c)+259(a-b)2+36(a-b)+369m2-42mn+49n2
12a3b2c-20a5b9dx-6dym(y-a)+9n(y-a)
14m3n4+10m3n4x3y2z-12x2y25p(z-b)-q(z-b)
4a(z2-9)+(z2-9)6x3yz-6x4y8a3b4-4ab
a2-x29(x-p)2-9(x-q)2a2-b2
16d4-y4a3b-25ab4a2-36
1
a2-—b2x2y-64y-a4+256
4
x2-4x+416b2-40b+254x2+8xy+4y2
x2-20xy+100y2-100a2-20ab-b23bx2-6bxy+3by2
(m-n)2-6(m-n)+981(b+c)2+90(b+c)+2516m2-56mn+49n2
14a5bc-10ab49bx+5by3m(z-c)+n(z-c)
18mn+16m3n20xy2z-10x4y4p(y-b3)+q(y-b3)
4a(y2-8)+10b(y2-8)2x5y3z+12xy12a4b+14a2b
b2-25x216(x+p)2-36(x+q)2a2-36b2
x4-y4a3b-16aba2-25
1
a2-—b2x2y-49y-x4+81
9
y2+6y+949a2+42a+916x2-56xy+49y2
x2+4xy+4y2-4a2-4ab-b28bx2+16bxy+8by2
(m+n)2-12(m+n)+3625(a-b)2+10(a-b)+116m2+24mn+9n2
10ab6c+6a3b49ax-2aym(x-c)-n(x-c)
4mn-10mn22xyz+2xy4p(y2-a)-4q(y2-a)
a(z-5)-9b(z-5)10xyz-10x5y418ab-20ab
36y2-x236(x+p)2-(x-q)216a2-25b2
x4-y4a3b-aba2-4
1
a2-—b2x2y-y-n4+1
64
a2-6a+99b2-30b+2549x2+42xy+9y2
x2-8xy+16y2-81a2-18ab-b22bx2+4bxy+2by2
(x+y)2+12(x+y)+364(a-b)2-16(a-b)+164m2-12mn+9n2
8ab4c-16ab7nx+6ny2m(z-a)+n(z-a)
14mn+6mn2x3y3z-10x3y24p(y-c2)-6q(y-c2)
a(y-5)+2b(y-5)8x4y6z-8xy12ab-8a4b4
64a2-x2(x-p)2-36(x-q)2a2-49b2
81b4-y4a3b-64aba2-9
1
a2-—b2x2y-36y-m2+81
9
x2-8x+164b2+12b+936x2-48xy+16y2
x2+18xy+81y2-81a2+18ab-b27cx2-14cxy+7cy2
(m-n)2+4(m-n)+481(m-n)2-18(m-n)+149m2+98mn+49n2
4a5bc-8ab38mx+5mym(x-a)+4n(x-a)
2mn3-6mn26xy4z+4x3yp(y-b3)+2q(y-b3)
a(x2-6)+(x2-6)4xyz-8xy12ab-2a3b
y2-64x24(x-p)2-9(x-q)2a2-4b2
16x4-y4a3b-81aba2-36
1
a2-—b2x2y-25y-n2+1
36
y2+4y+481y2-108y+369x2-42xy+49y2
x2+4xy+4y2-49a2-14ab-b22nx2+4nxy+2ny2
(m-n)2-4(m-n)+436(a-b)2-36(a-b)+949m2-28mn+4n2
18a5b6c-16ab10mx+3mym(z-b)-n(z-b)
2m3n3+4mn310xy4z-18xy5p(y-a3)-8q(y-a3)
8a(y-9)+7b(y-9)14x6y6z+2xy616a3b4-16a4b4
4c2-100x24(x-p)2-(x-q)225a2-b2
16a4-y4a3b-aba2-9
1
a2-—b2x2y-36y-y4+81
36
b2-4b+44d2-12d+99x2-18xy+9y2
x2+14xy+49y2-49a2-14ab-b210cx2-20cxy+10cy2
(x+y)2-6(x+y)+949(m+n)2+70(m+n)+254m2-20mn+25n2
2a3b4c+4a4b56nx-4ny5m(x-c)+n(x-c)
18mn+8m2n410xy2z-14xy3p(x-b)-5q(x-b)
a(z2-2)-b(z2-2)2xyz+12xy620a4b+20ab
a2-36x216(x+p)2-(x+q)2a2-b2
16x4-y4a3b-ab9a2-36
1
a2-—b2x2y-y-x4+256
9
d2-6d+925y2-50y+2516x2-16xy+4y2
x2-4xy+4y2-4a2+4ab-b26nx2-12nxy+6ny2
(b-c)2-6(b-c)+949(x+y)2+70(x+y)+2536m2-72mn+36n2
16ab4c+4a2b8bx-2bym(z-c)+n(z-c)
14mn+18mn310x2y3z-14x4y5p(y-a2)+7q(y-a2)
7a(z2-6)+(z2-6)18x2y3z-16x3y14ab-12ab
a2-36x2(x+p)2-9(x-q)2a2-4b2
81c4-y4a3b-ab4a2-4
1
a2-—b2x2y-49y-x4+1
64
b2-12b+3681d2+72d+1625x2+20xy+4y2
x2-8xy+16y2-9a2-6ab-b23bx2+6bxy+3by2
(x-y)2-4(x-y)+49(a+b)2-18(a+b)+925m2+70mn+49n2
10a3b3c+2a4b510dx-6dy3m(x-c)+10n(x-c)
20m4n-18mn4xy2z-6xyp(y-c)+q(y-c)
4a(z-8)-9(z-8)16x3y2z+20xy14ab3+8ab
81a2-49x2(x+p)2-(x-q)281a2-25b2
81c4-y4a3b-ab4a2-25
1
a2-—b2x2y-y-b4+81
16
a2+4a+464b2-16b+125x2-50xy+25y2
x2-4xy+4y2-25a2-10ab-b27mx2-14mxy+7my2
(a+b)2-4(a+b)+481(b-c)2-18(b-c)+136m2-48mn+16n2
2abc-18a4b10nx+5nym(z-b)-n(z-b)
20m3n4+14m2n20x2y3z+2x2y210p(x-a)-9q(x-a)
5a(y2-8)+b(y2-8)20x2yz+2x2y4a4b+20a3b
d2-4x2(x+p)2-(x-q)2a2-b2
b4-y4a3b-100ab4a2-1
1
a2-—b2x2y-y-y2+81
9
b2+12b+3636y2+48y+169x2+42xy+49y2
x2+4xy+4y2-100a2-20ab-b22bx2+4bxy+2by2
(b+c)2+12(b+c)+3636(b+c)2-72(b+c)+369m2+42mn+49n2
14a3bc+4ab3bx-9bym(x-a)-8n(x-a)
16m4n+10mn46xyz-8x3yp(z3-b)+8q(z3-b)
2a(y2-9)+(y2-9)10xy6z+6xy212a4b4-18ab
25y2-16x29(x+p)2-(x-q)29a2-49b2
d4-y4a3b-ab4a2-81
1
a2-—b2x2y-y-y2+1
64
b2+12b+3625y2-30y+99x2+12xy+4y2
x2+6xy+9y2-16a2+8ab-b29bx2-18bxy+9by2
(x-y)2+8(x-y)+164(m+n)2+24(m+n)+3625m2+70mn+49n2
18a3b3c-14a4b7dx+7dym(y-b)-n(y-b)
18m4n3-2m4n20x4y2z+12x4yp(x-c3)-6q(x-c3)
3a(z2-9)+(z2-9)6xyz-10xy54ab-12ab2
b2-100x2(x-p)2-(x+q)249a2-64b2
81c4-y4a3b-aba2-100
1
a2-—b2x2y-y-n2+256
4
x2+6x+99b2+18b+936x2+60xy+25y2
x2-4xy+4y2-64a2-16ab-b22nx2+4nxy+2ny2
(a+b)2-4(a+b)+49(b+c)2+36(b+c)+3636m2+48mn+16n2
2a6bc+4a4b25dx-6dym(y-b)-4n(y-b)
12mn2-12mn418x3y4z+2x4y23p(x-a)+7q(x-a)
4a(z2-9)-8(z2-9)20xyz-18xy8ab2-18ab
25d2-9x216(x-p)2-25(x+q)2a2-b2
16b4-y4a3b-100aba2-49
1
a2-—b2x2y-y-x4+81
81
y2+8y+1636b2+60b+254x2+28xy+49y2
x2-12xy+36y2-9a2+6ab-b22dx2-4dxy+2dy2
(m+n)2+4(m+n)+425(m-n)2-50(m-n)+2536m2+36mn+9n2
16ab4c-20a5b52nx-5ny3m(z-c)-n(z-c)
10mn2+18m2n218xy3z-2x3yp(y-c)+q(y-c)
a(x-1)+6(x-1)2xyz-20x4y6ab-10a4b4
25d2-81x225(x+p)2-9(x+q)24a2-b2
16b4-y4a3b-9ab16a2-81
1
a2-—b2x2y-y-n4+1
36
b2+6b+981b2+108b+3649x2-42xy+9y2
x2+18xy+81y2-49a2-14ab-b24dx2-8dxy+4dy2
(x-y)2-4(x-y)+416(x+y)2+24(x+y)+925m2-30mn+9n2
12a5bc+16ab2bx+8by10m(y-a)+n(y-a)
14mn-12m3n8xyz-6xyp(z-b2)+q(z-b2)