人教版八年级数学上册因式分解综合练习题大全33.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33.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33
49a2-x2(x-p)2-(x+q)2a2-b2
a4-y4a3b-81aba2-81
1
a2-—b2x2y-25y-y4+256
9
a2-6a+981a2-36a+49x2+24xy+16y2
x2+12xy+36y2-49a2-14ab-b210nx2-20nxy+10ny2
(a+b)2-12(a+b)+3681(x+y)2+18(x+y)+116m2-40mn+25n2
16a2bc+6ab29ax+10ay2m(y-a)+3n(y-a)
2mn-18mn8x3yz-20x3y44p(z3-a)+q(z3-a)
2a(x-6)+b(x-6)2x6yz-4xy420a2b2-18a4b3
4b2-x29(x-p)2-(x+q)2a2-b2
81c4-y4a3b-25ab16a2-16
1
a2-—b2x2y-25y-x2+256
81
c2-12c+3681x2-90x+254x2+24xy+36y2
x2+12xy+36y2-81a2-18ab-b210dx2-20dxy+10dy2
(x+y)2-6(x+y)+981(m-n)2+54(m-n)+94m2+20mn+25n2
18abc-12ab37cx+8cy3m(z-a)+8n(z-a)
2mn-18mn48xy3z-18xy27p(y3-a3)+6q(y3-a3)
10a(y-4)+4b(y-4)20xy6z+2xy514a4b+8a2b
64b2-4x2(x-p)2-(x-q)2a2-9b2
x4-y4a3b-ab4a2-9
1
a2-—b2x2y-9y-y2+1
25
b2-12b+3636a2+60a+254x2+20xy+25y2
x2+6xy+9y2-100a2-20ab-b210dx2+20dxy+10dy2
(a+b)2-4(a+b)+449(x+y)2+14(x+y)+136m2-60mn+25n2
2a4b3c-4a4b310ax-7ay4m(x-a)+3n(x-a)
18mn+2m2n320x4yz-12xy44p(z-b)-q(z-b)
4a(z2-6)-b(z2-6)12x6y4z+14x2y4ab2+20ab4
36c2-100x2(x-p)2-4(x-q)2a2-b2
a4-y4a3b-64ab4a2-9
1
a2-—b2x2y-16y-x2+256
81
d2-6d+949x2+70x+254x2+16xy+16y2
x2+12xy+36y2-16a2+8ab-b25mx2+10mxy+5my2
(m-n)2+4(m-n)+449(b-c)2-84(b-c)+3649m2-84mn+36n2
8ab6c-12ab47nx+8ny7m(y-b)+n(y-b)
10m2n+12m2n316xy4z-20x4y48p(z-b)+9q(z-b)
8a(y2-8)+b(y2-8)12xyz-16xy514a4b-10a2b
36c2-x29(x+p)2-36(x+q)216a2-16b2
81c4-y4a3b-ab9a2-25
1
a2-—b2x2y-y-y4+81
4
b2-12b+364a2+24a+3625x2-70xy+49y2
x2+18xy+81y2-100a2-20ab-b27dx2-14dxy+7dy2
(a+b)2-4(a+b)+44(b+c)2-4(b+c)+116m2-32mn+16n2
10a3b4c-18ab59ax+5aym(x-c)+10n(x-c)
2mn3+2mn46xy2z+12xy22p(y-c)+q(y-c)
a(z-7)-(z-7)10x6yz+6xy54ab+10ab
36a2-x225(x-p)2-25(x-q)216a2-81b2
81c4-y4a3b-49ab16a2-49
1
a2-—b2x2y-49y-x2+81
25
a2-4a+425a2-20a+44x2+28xy+49y2
x2+10xy+25y2-16a2-8ab-b210mx2-20mxy+10my2
(b-c)2+10(b-c)+259(b-c)2+18(b-c)+94m2+20mn+25n2
8a6b4c+6ab54nx-9ny7m(z-b)+5n(z-b)
20m2n+6m4n316x2yz+12x2y24p(y-c2)+q(y-c2)
5a(z-1)-b(z-1)4x2y3z-4xy66ab3+12ab3
9c2-25x2(x-p)2-(x+q)264a2-b2
c4-y4a3b-25ab16a2-9
1
a2-—b2x2y-y-a4+81
81
y2-8y+1664b2+32b+416x2-32xy+16y2
x2-6xy+9y2-25a2-10ab-b24cx2+8cxy+4cy2
(x+y)2+6(x+y)+981(a+b)2-18(a+b)+125m2-70mn+49n2
8ab4c+10a4b6nx+8nym(x-c)-n(x-c)
14mn4-14mn318x3yz-18x3yp(x-c3)-10q(x-c3)
a(x2-4)+7(x2-4)10x3y5z+10x5y2ab-12ab
b2-36x24(x+p)2-(x-q)29a2-9b2
81d4-y4a3b-ab4a2-25
1
a2-—b2x2y-64y-y4+16
16
x2+12x+3616d2-32d+1636x2+36xy+9y2
x2+12xy+36y2-9a2+6ab-b24cx2-8cxy+4cy2
(x+y)2+10(x+y)+254(m-n)2+12(m-n)+94m2-12mn+9n2
8ab3c-4a5b52dx-8dym(y-a)+3n(y-a)
6mn-10mn320xyz+6xy7p(z3-b)-7q(z3-b)
3a(z-3)+(z-3)16xy4z+12x4y412a4b4+2ab
a2-49x29(x+p)2-25(x-q)264a2-b2
81x4-y4a3b-ab16a2-25
1
a2-—b2x2y-y-x2+256
36
c2+12c+3625d2-30d+94x2-8xy+4y2
x2-12xy+36y2-9a2-6ab-b29bx2-18bxy+9by2
(b+c)2+6(b+c)+981(x-y)2+54(x-y)+936m2-36mn+9n2
4abc-10ab10dx+2dym(x-b)+6n(x-b)
8mn-6m3n212x4yz-18x4y3p(y-a)+q(y-a)
a(x2-9)+b(x2-9)18xyz+20xy54ab3-4ab2
y2-9x225(x-p)2-25(x+q)2a2-81b2
c4-y4a3b-aba2-1
1
a2-—b2x2y-y-b2+81
9
b2+6b+936x2-60x+259x2+18xy+9y2
x2-6xy+9y2-4a2-4ab-b29bx2-18bxy+9by2
(x+y)2+6(x+y)+981(b-c)2-108(b-c)+3636m2+84mn+49n2
12a3bc+6ab410ax+5ay9m(x-b)+n(x-b)
18m3n-4m2n26x4y4z-20x2y3p(z3-c)-3q(z3-c)
a(y2-6)+b(y2-6)6x2yz-10xy212ab3-2a3b
36c2-25x24(x+p)2-9(x-q)29a2-81b2
b4-y4a3b-49ab16a2-25
1
a2-—b2x2y-64y-n2+1
25
x2-4x+436c2+12c+149x2+42xy+9y2
x2+14xy+49y2-25a2-10ab-b22cx2+4cxy+2cy2
(m-n)2-8(m-n)+169(b+c)2+30(b+c)+259m2-36mn+36n2
2abc+8a2b54cx+2cy2m(x-b)+n(x-b)
14mn-12mn214xy2z-2xy2p(x-c3)+q(x-c3)
a(y2-6)+(y2-6)6xyz-10xy220ab2+18ab
b2-x2(x-p)2-36(x-q)2100a2-b2
81d4-y4a3b-aba2-9
1
a2-—b2x2y-y-y2+1
64
y2+6y+949c2-42c+925x2+30xy+9y2
x2-4xy+4y2-64a2-16ab-b27dx2+14dxy+7dy2
(b-c)2+12(b-c)+3664(a+b)2+96(a+b)+3649m2-70mn+25n2
14a2b4c+4ab3nx+8nym(y-c)-8n(y-c)
18mn2+2mn218x4yz+10xy2p(x2-a)+2q(x2-a)
3a(x-7)+9b(x-7)18xyz-4x2y10a2b+18ab
81y2-25x2(x-p)2-(x+q)2a2-b2
16c4-y4a3b-ab16a2-81
1
a2-—b2x2y-y-a2+256
36
b2-12b+3664y2-96y+3649x2+84xy+36y2
x2+4xy+4y2-81a2+18ab-b25nx2-10nxy+5ny2
(m+n)2-10(m+n)+2564(m+n)2-32(m+n)+49m2-30mn+25n2
20a3bc+14ab66bx-6bym(y-c)+10n(y-c)
6m3n-6mn20xyz-10xy6p(x-c)+6q(x-c)
10a(x-3)+(x-3)12xyz-14xy22a2b-16a3b4
36y2-36x24(x-p)2-(x-q)2a2-b2
81c4-y4a3b-25aba2-4
1
a2-—b2x2y-y-y4+256
16
d2-10d+254a2+20a+2536x2-84xy+49y2
x2+8xy+16y2-9a2+6ab-b23ax2-6axy+3ay2
(m-n)2+4(m-n)+416(x+y)2-48(x+y)+3649m2-70mn+25n2
8a3b6c-8ab35ax-5ay5m(z-b)-n(z-b)
2m2n+8m2n12xyz+6x4y46p(z3-a)+10q(z3-a)
a(z-1)-6(z-1)2xy5z+4xy4ab-10a3b4
64y2-x29(x-p)2-(x+q)236a2-16b2
16x4-y4a3b-9ab4a2-100
1
a2-—b2x2y-y-m2+81
25
y2-6y+981y2-72y+169x2-24xy+16y2
x2+4xy+4y2-9a2+6ab-b22dx2+4dxy+2dy2
(x-y)2+8(x-y)+1636(m+n)2-12(m+n)+14m2-28mn+49n2
14a6b4c-10a6b43cx+3cy9m(x-c)+9n(x-c)
12mn+10m4n310xy2z-16xy4p(x-b)+9q(x-b)
a(z2-7)+10b(z2-7)12xyz-14xy16a4b3+14ab
d2-x24(x-p)2-4(x+q)216a2-b2
d4-y4a3b-64aba2-49
1
a2-—b2x2y-y-n4+256
81
a2-12a+3649d2+14d+14x2+28xy+49y2
x2-16xy+64y2-4a2+4ab-b27bx2+14bxy+7by2
(b-c)2-4(b-c)+416(x+y)2-8(x+y)+125m2+40mn+16n2
4abc-2ab22bx-3by5m(z-a)-n(z-a)
20m4n3+2mn10xy3z+4x4y4p(y-c)-q(y-c)
5a(y-6)-3b(y-6)2xy4z+20x4y42a4b-2ab2
c2-x2(x+p)2-(x-q)2a2-b2
a4-y4a3b-ab9a2-16
1
a2-—b2x2y-25y-a2+16
9
b2+10b+259b2-12b+49x2+24xy+16y2
x2+10xy+25y2-9a2+6ab-b27bx2-14bxy+7by2
(b+c)2-12(b+c)+3625(b-c)2+60(b-c)+369m2+18mn+9n2
18a5b5c-18a3b49mx-4mym(x-b)-n(x-b)
18m4n+10mn412xyz-16x3y3p(x-a2)-2q(x-a2)
a(y-4)+10b(y-4)18x2yz-14xy2a2b-10ab
c2-x225(x+p)2-(x+q)2a2-49b2
b4-y4a3b-25ab16a2-100
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