人教版八年级数学上册因式分解综合练习题大全60.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60.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60
d2-x2(x-p)2-(x-q)24a2-100b2
81x4-y4a3b-64ab16a2-36
1
a2-—b2x2y-4y-a2+256
9
c2+10c+2536c2-48c+164x2-20xy+25y2
x2+6xy+9y2-49a2-14ab-b23mx2-6mxy+3my2
(m-n)2-4(m-n)+416(a+b)2-40(a+b)+2536m2+36mn+9n2
12a5bc+20ab8dx-10dym(y-a)-7n(y-a)
4mn+8m3n212x4yz-2x2y47p(x-a)-q(x-a)
4a(z-3)+2(z-3)4xyz-8x6y4ab4+8ab4
d2-4x236(x-p)2-(x-q)2a2-4b2
81b4-y4a3b-aba2-49
1
a2-—b2x2y-9y-n2+16
81
c2-6c+99b2-30b+2549x2+42xy+9y2
x2-8xy+16y2-81a2-18ab-b27dx2+14dxy+7dy2
(m+n)2-4(m+n)+481(m+n)2-90(m+n)+259m2-36mn+36n2
2ab5c+18ab8dx+10dym(x-a)+n(x-a)
14mn-4mn26x4y2z+14xy3p(z3-a)-7q(z3-a)
a(y-6)-6(y-6)16xy4z+4x6y6a3b3-2ab
c2-x2(x+p)2-(x+q)2a2-b2
b4-y4a3b-64ab16a2-81
1
a2-—b2x2y-25y-n4+1
4
b2-10b+2525x2-40x+1616x2-32xy+16y2
x2+12xy+36y2-36a2+12ab-b22bx2+4bxy+2by2
(x+y)2-8(x+y)+164(x-y)2-24(x-y)+364m2+20mn+25n2
4a5bc+4ab10ax-9ay2m(z-a)+5n(z-a)
16m2n+18mn310xy4z-4xy10p(z3-b)-q(z3-b)
6a(z2-7)-4(z2-7)4x2yz-8x3y218ab+10a2b
a2-81x2(x-p)2-(x+q)2100a2-b2
a4-y4a3b-ab4a2-1
1
a2-—b2x2y-y-x2+256
25
d2-8d+164x2+16x+1636x2-84xy+49y2
x2+8xy+16y2-9a2-6ab-b25mx2-10mxy+5my2
(x-y)2-10(x-y)+2516(x-y)2+32(x-y)+164m2+20mn+25n2
12ab3c+6ab6bx+7bym(z-b)-3n(z-b)
20m4n+10m2n6x3yz-8x4y25p(z3-c3)-q(z3-c3)
a(y2-8)+(y2-8)12xyz+14xy6a4b4-20a3b4
81d2-49x29(x-p)2-(x-q)2a2-81b2
c4-y4a3b-64aba2-9
1
a2-—b2x2y-64y-m4+16
25
y2+10y+2549y2-84y+369x2-30xy+25y2
x2+8xy+16y2-4a2+4ab-b24cx2+8cxy+4cy2
(x+y)2-4(x+y)+436(x-y)2-36(x-y)+949m2+42mn+9n2
2abc+20a2b610nx-5ny5m(z-b)+n(z-b)
6mn4+18mn18xy3z+14xy43p(y-c)-q(y-c)
3a(y-1)-8(y-1)4x6y4z-10x5y620a4b+20a2b4
c2-x236(x+p)2-9(x-q)2100a2-49b2
16b4-y4a3b-ab4a2-4
1
a2-—b2x2y-64y-m4+1
25
x2-8x+1649d2-42d+949x2-70xy+25y2
x2-8xy+16y2-49a2+14ab-b23mx2-6mxy+3my2
(x-y)2+8(x-y)+1664(b-c)2+16(b-c)+136m2+36mn+9n2
4ab3c-12a3b5cx-8cy6m(x-a)-8n(x-a)
10mn-16mn16x2yz+12xy29p(z3-a2)+q(z3-a2)
a(x2-4)-b(x2-4)2xy6z-20xy6a2b3-14ab3
36y2-x236(x+p)2-(x-q)2a2-b2
16b4-y4a3b-aba2-25
1
a2-—b2x2y-y-m4+256
4
a2+4a+481d2-72d+1636x2+48xy+16y2
x2-6xy+9y2-64a2+16ab-b29dx2+18dxy+9dy2
(a-b)2-8(a-b)+1625(b-c)2-20(b-c)+416m2+32mn+16n2
12ab5c-20ab38ax-2aym(y-b)-n(y-b)
10m3n4+8mn12x3yz-18xyp(y-b2)-q(y-b2)
a(y-5)-(y-5)20x5yz-12x6y6a4b2-14a3b3
9y2-x29(x+p)2-9(x-q)2a2-b2
c4-y4a3b-aba2-64
1
a2-—b2x2y-64y-m2+256
4
b2+12b+3681b2+36b+416x2+32xy+16y2
x2+8xy+16y2-25a2+10ab-b23dx2+6dxy+3dy2
(a-b)2-6(a-b)+916(m+n)2-16(m+n)+44m2+12mn+9n2
16abc+16ab6bx-3by5m(y-b)-n(y-b)
4m2n4+2m3n16x4y3z+6x3y4p(x-c)-4q(x-c)
a(y-2)+b(y-2)14x4y4z+18x2y6a2b-6a2b2
d2-x2(x+p)2-9(x+q)281a2-81b2
81b4-y4a3b-9ab16a2-1
1
a2-—b2x2y-y-n2+16
49
b2-4b+49x2-24x+1649x2-56xy+16y2
x2-14xy+49y2-25a2-10ab-b29cx2-18cxy+9cy2
(a+b)2-4(a+b)+481(a+b)2+54(a+b)+94m2+8mn+4n2
6a5b5c-10ab46mx-5mym(x-a)-6n(x-a)
18m4n2-10m2n218x4y3z+20x2y4p(z-c2)-3q(z-c2)
a(y2-7)-b(y2-7)12xy3z+4xy14a2b-16a4b3
b2-x2(x-p)2-36(x+q)2a2-b2
b4-y4a3b-aba2-100
1
a2-—b2x2y-100y-m2+256
81
y2-10y+259a2-36a+3649x2-70xy+25y2
x2+10xy+25y2-9a2-6ab-b24ax2-8axy+4ay2
(m-n)2+6(m-n)+981(x+y)2+108(x+y)+3649m2+98mn+49n2
14a5bc-12ab7nx-5nym(x-a)-n(x-a)
20mn3+2mn418x2y2z-2xy3p(x-b)-5q(x-b)
a(y-1)+b(y-1)18x3yz+12x2y16ab+12a3b
c2-9x29(x+p)2-25(x+q)2a2-25b2
x4-y4a3b-aba2-100
1
a2-—b2x2y-y-n4+256
4
y2+4y+49c2-12c+416x2+32xy+16y2
x2-12xy+36y2-64a2+16ab-b23bx2-6bxy+3by2
(b+c)2+10(b+c)+2536(m+n)2+24(m+n)+49m2+36mn+36n2
20ab6c-12a2b37bx-10bym(z-b)+n(z-b)
12mn-10m3n212xy4z+6x4y3p(y-b2)+10q(y-b2)
5a(y-1)-(y-1)2x6y5z+2xy4a2b-12ab
16d2-x236(x+p)2-16(x+q)216a2-4b2
c4-y4a3b-4aba2-1
1
a2-—b2x2y-y-x2+256
16
a2-8a+1681c2-36c+49x2-18xy+9y2
x2-6xy+9y2-49a2-14ab-b24bx2-8bxy+4by2
(x+y)2+6(x+y)+964(x-y)2-64(x-y)+1649m2+42mn+9n2
6a4bc+16a5b44dx-6dy4m(y-a)+7n(y-a)
10mn3-18m4n10x4y4z-16x3y2p(x-a2)-q(x-a2)
10a(x-6)+9(x-6)6x3yz+2xy16a4b-8ab
100d2-x29(x+p)2-(x+q)2a2-b2
16x4-y4a3b-4aba2-49
1
a2-—b2x2y-81y-x4+16
9
y2-12y+3649a2+14a+136x2+72xy+36y2
x2+6xy+9y2-64a2-16ab-b22bx2+4bxy+2by2
(x+y)2-10(x+y)+2581(x+y)2+18(x+y)+19m2+12mn+4n2
12ab2c+4a2b47dx-3dym(x-a)+10n(x-a)
18mn-14mn12x3yz+20x3yp(z-a2)-q(z-a2)
a(y2-9)-b(y2-9)2xy2z-6x6y12a4b-14ab2
c2-25x2(x-p)2-16(x+q)236a2-b2
c4-y4a3b-ab9a2-81
1
a2-—b2x2y-64y-a2+81
49
c2-4c+44a2-8a+449x2-28xy+4y2
x2+20xy+100y2-16a2+8ab-b28mx2-16mxy+8my2
(x-y)2+12(x-y)+369(b-c)2+36(b-c)+3616m2+32mn+16n2
14abc+18ab7mx-8my6m(z-a)+3n(z-a)
20m4n-2m2n310xy2z-20xyp(z-c2)-6q(z-c2)
a(z2-1)+(z2-1)8xy5z-2xy16a4b2+4a2b
d2-x216(x-p)2-(x-q)2a2-4b2
c4-y4a3b-aba2-81
1
a2-—b2x2y-y-a2+81
49
d2+8d+1625x2+50x+254x2-16xy+16y2
x2+14xy+49y2-64a2-16ab-b29nx2+18nxy+9ny2
(x-y)2+8(x-y)+1649(a+b)2+42(a+b)+916m2+24mn+9n2
18ab2c-2a6b6bx+3bym(y-c)+5n(y-c)
8mn4-8mn2x4y3z-10xy44p(x3-a3)+q(x3-a3)
7a(z2-1)+5b(z2-1)14x5y3z-8x6y52ab2-14ab
b2-9x2(x+p)2-(x-q)2a2-b2
16x4-y4a3b-ab9a2-25
1
a2-—b2x2y-36y-y4+81
36
c2-12c+3649d2-42d+925x2+70xy+49y2
x2+4xy+4y2-100a2+20ab-b22dx2-4dxy+2dy2
(x+y)2+12(x+y)+3616(m-n)2+40(m-n)+2525m2+60mn+36n2
10a3bc+6ab9ax+4ay2m(z-a)-n(z-a)
8m3n-16m4n46x2y3z+8x3y10p(y-c)+q(y-c)
4a(y-4)+3b(y-4)8x3y3z-8x5y610ab2+10ab
b2-x2(x-p)2-9(x+q)2a2-16b2
c4-y4a3b-9ab16a2-64
1
a2-—b2x2y-9y-y2+16
36
c2+10c+2581x2-72x+164x2-24xy+36y2
x2-18xy+81y2-4a2+4ab-b26nx2+12nxy+6ny2
(b+c)2-6(b+c)+916(x+y)2+40(x+y)+2536m2-36mn+9n2
10ab5c+6a3b6bx-8bym(z-c)+n(z-c)
10m2n+18m3n210x4y3z-6xy5p(y2-b3)-3q(y2-b3)
10a(y-4)-5b(y-4)16x6yz+16xy20a2b-16a4b2
b2-36x2(x-p)2-25(x-q)2a2-4b2
b4-y4a3b-49ab4a2-36
1
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