人教版八年级数学上册因式分解综合练习题大全1.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1.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1
6a4b4c-16ab38ax-8ay3m(y-a)+7n(y-a)
14mn-20m4n24xy2z+12x4y4p(y3-c2)-q(y3-c2)
4a(z2-5)-b(z2-5)4x6yz+18xy12ab3+16a4b4
a2-36x216(x-p)2-(x+q)216a2-b2
16a4-y4a3b-aba2-64
1
a2-—b2x2y-y-y4+16
36
y2-6y+916x2-16x+449x2+56xy+16y2
x2-14xy+49y2-81a2+18ab-b26mx2+12mxy+6my2
(x-y)2+6(x-y)+94(b-c)2+20(b-c)+259m2-24mn+16n2
14ab5c+10ab7cx+5cym(x-c)+6n(x-c)
10m4n+10m2n212x4yz+18x3y3p(x2-a2)+q(x2-a2)
a(y2-4)+2(y2-4)20xy6z+10x4y4ab-14ab
d2-25x2(x-p)2-(x+q)281a2-36b2
a4-y4a3b-81aba2-36
1
a2-—b2x2y-y-x2+1
25
a2+8a+1664x2-48x+916x2+32xy+16y2
x2+12xy+36y2-64a2+16ab-b26nx2-12nxy+6ny2
(b+c)2-12(b+c)+3625(x-y)2+20(x-y)+416m2+32mn+16n2
18a3b3c+2a3b25cx+9cy4m(z-c)-n(z-c)
2mn+4mn16xyz+14xy2p(y-a2)-2q(y-a2)
8a(z-1)+8b(z-1)14xyz-20xy52ab4-12a3b
a2-36x216(x-p)2-(x-q)225a2-b2
d4-y4a3b-25aba2-9
1
a2-—b2x2y-y-a2+81
81
x2+8x+1649y2+84y+3616x2-24xy+9y2
x2+14xy+49y2-16a2-8ab-b25nx2-10nxy+5ny2
(a-b)2-12(a-b)+3616(b+c)2-16(b+c)+449m2+84mn+36n2
2a4b5c-10a5b68cx-7cym(z-b)-9n(z-b)
16mn-12mn14x2yz+8xy10p(z-c)-q(z-c)
a(y2-3)+8(y2-3)8x4yz-10xy20a2b+18ab3
16a2-x24(x+p)2-(x+q)236a2-36b2
81b4-y4a3b-ab9a2-36
1
a2-—b2x2y-y-m2+16
49
a2-8a+1625x2-20x+449x2-28xy+4y2
x2+10xy+25y2-9a2+6ab-b22ax2+4axy+2ay2
(x+y)2-12(x+y)+3681(m+n)2+90(m+n)+254m2+16mn+16n2
8a3b3c-12ab36mx+9mym(x-a)+6n(x-a)
8m4n4+4m2n18xyz+20x4y37p(y2-b)-q(y2-b)
a(x-7)+8b(x-7)4xy5z-2xy420ab+14a2b
81c2-x2(x-p)2-(x-q)2a2-16b2
81d4-y4a3b-64aba2-1
1
a2-—b2x2y-49y-x4+1
36
b2+4b+425x2-30x+925x2+50xy+25y2
x2-18xy+81y2-9a2-6ab-b26ax2-12axy+6ay2
(x+y)2+4(x+y)+49(m+n)2+30(m+n)+2549m2+56mn+16n2
6a4bc-14ab45nx+10ny9m(y-b)-9n(y-b)
18m3n4-6m4n312x4y3z+14xy32p(y3-a3)+6q(y3-a3)
4a(z2-3)+3b(z2-3)16x2y4z-10x3y54ab4-10ab
y2-9x2(x-p)2-(x+q)2a2-b2
c4-y4a3b-49ab16a2-1
1
a2-—b2x2y-4y-n4+16
16
d2-8d+1664c2+32c+449x2+84xy+36y2
x2-12xy+36y2-4a2-4ab-b22bx2+4bxy+2by2
(x-y)2+4(x-y)+425(m-n)2-50(m-n)+2525m2-40mn+16n2
20abc+20ab49bx+9bym(y-a)-4n(y-a)
18m3n+6m2n2xyz+6xy3p(y3-a)-8q(y3-a)
a(z-2)-b(z-2)16x4y2z+4xy16ab-18a4b2
c2-49x2(x+p)2-36(x-q)2a2-64b2
81d4-y4a3b-ab16a2-49
1
a2-—b2x2y-64y-x2+81
25
y2+12y+369y2+12y+449x2+56xy+16y2
x2+18xy+81y2-36a2+12ab-b25ax2-10axy+5ay2
(m+n)2-12(m+n)+369(m+n)2+36(m+n)+3616m2+32mn+16n2
16a5bc+12a3b43nx-8nym(y-c)-n(y-c)
18m3n4+16m2n316x2y4z+2x3y9p(y2-a3)-q(y2-a3)
3a(z2-1)+b(z2-1)2x6y4z-4x5y610ab-12a4b3
y2-x2(x-p)2-4(x+q)2a2-b2
16d4-y4a3b-aba2-64
1
a2-—b2x2y-4y-b2+81
4
c2-8c+1649y2+84y+3616x2-56xy+49y2
x2+14xy+49y2-16a2-8ab-b24cx2-8cxy+4cy2
(m+n)2+8(m+n)+1649(b+c)2-56(b+c)+1649m2+84mn+36n2
20ab6c-4ab54cx+4cym(x-a)+n(x-a)
18m4n4+8mn210x4y3z-20xy3p(y-a)-3q(y-a)
4a(x2-2)+b(x2-2)2xy3z+14x3y62ab4-18a3b
49c2-x225(x+p)2-4(x-q)2100a2-64b2
81d4-y4a3b-ab4a2-64
1
a2-—b2x2y-4y-a2+16
81
b2+6b+99b2-6b+14x2-24xy+36y2
x2+8xy+16y2-81a2+18ab-b25cx2+10cxy+5cy2
(x-y)2+6(x-y)+99(b-c)2+30(b-c)+259m2+30mn+25n2
8abc-10ab7ax+3aym(y-b)-n(y-b)
16m4n-16m2n16x2y2z-4x2y25p(x-c)-q(x-c)
a(z2-8)+10b(z2-8)8xy4z+8xy32ab-2a2b3
81d2-x2(x+p)2-16(x-q)29a2-b2
a4-y4a3b-36aba2-4
1
a2-—b2x2y-y-b2+16
64
y2+10y+2525b2-10b+19x2+36xy+36y2
x2+14xy+49y2-25a2+10ab-b22nx2+4nxy+2ny2
(x-y)2+4(x-y)+464(b+c)2-64(b+c)+169m2+30mn+25n2
4a5b3c+16a2b6dx+6dym(y-a)+7n(y-a)
8mn2+14mn10x4yz-12x4y9p(y-b)-q(y-b)
a(z2-6)+9b(z2-6)8xy4z+18x2y12a4b2-10ab3
81a2-9x2(x-p)2-25(x-q)249a2-b2
81b4-y4a3b-100aba2-64
1
a2-—b2x2y-4y-m4+81
49
b2-10b+2525c2-10c+19x2-36xy+36y2
x2+14xy+49y2-4a2-4ab-b210mx2-20mxy+10my2
(x+y)2+4(x+y)+436(m+n)2+12(m+n)+19m2+18mn+9n2
12a4b4c-12a6b3cx-6cy10m(x-a)+n(x-a)
12mn2-20mn2x4yz+16x3y2p(z2-a)-q(z2-a)
a(z2-7)-b(z2-7)16xyz+4x3y418ab3-6ab4
49b2-x2(x-p)2-(x+q)249a2-b2
x4-y4a3b-aba2-25
1
a2-—b2x2y-y-x2+16
4
x2+12x+3664y2+80y+259x2-24xy+16y2
x2-18xy+81y2-25a2+10ab-b28dx2+16dxy+8dy2
(a-b)2-12(a-b)+364(x+y)2-20(x+y)+254m2-28mn+49n2
4ab3c+6ab7nx+3ny5m(z-a)-n(z-a)
20m3n-10mn318xy3z+20xy2p(z-a)+7q(z-a)
a(z-3)-b(z-3)16x4y5z+18x5y16ab2+20a3b
100c2-36x225(x-p)2-(x+q)2a2-64b2
d4-y4a3b-aba2-64
1
a2-—b2x2y-16y-a2+16
9
d2+8d+164c2+16c+1649x2-84xy+36y2
x2+12xy+36y2-4a2+4ab-b25dx2+10dxy+5dy2
(x+y)2+6(x+y)+981(x-y)2-108(x-y)+3636m2-84mn+49n2
2a5bc-16ab8ax-6aym(z-c)-n(z-c)
12mn-12m2n4x3y4z+16x3y6p(z2-a3)+5q(z2-a3)
a(z-4)+4(z-4)16x6y2z-14xy420a2b-10ab
9c2-x2(x+p)2-(x-q)2a2-49b2
c4-y4a3b-4ab16a2-81
1
a2-—b2x2y-y-n2+16
36
a2-6a+99a2+36a+3625x2-50xy+25y2
x2+10xy+25y2-81a2+18ab-b25dx2+10dxy+5dy2
(x-y)2-8(x-y)+169(m+n)2+30(m+n)+259m2+18mn+9n2
20ab5c-8a2b8ax-7aym(y-c)+n(y-c)
16mn-8m2n46xy3z-6xy43p(z3-b)+6q(z3-b)
a(y-8)-b(y-8)20x3y3z+6x3y616a3b-8ab
81y2-x2(x+p)2-36(x-q)236a2-64b2
x4-y4a3b-4aba2-81
1
a2-—b2x2y-25y-a4+1
49
a2+4a+464b2-32b+436x2+48xy+16y2
x2-20xy+100y2-25a2-10ab-b25cx2+10cxy+5cy2
(x+y)2+10(x+y)+254(x+y)2-12(x+y)+925m2-70mn+49n2
18abc-4ab28mx-2my7m(y-c)-8n(y-c)
4mn-20mn20xy3z+20xy2p(y3-c2)-q(y3-c2)
a(y2-8)+5b(y2-8)4x2yz+10x2y54ab+14a3b2
y2-x2(x+p)2-36(x+q)2a2-b2
x4-y4a3b-64aba2-36
1
a2-—b2x2y-y-y2+1
49
d2+12d+3664x2-48x+916x2+40xy+25y2
x2-12xy+36y2-49a2-14ab-b27bx2+14bxy+7by2
(m-n)2-8(m-n)+169(x-y)2-12(x-y)+416m2+32mn+16n2
20a2b3c-2ab53ax-9aym(y-a)-4n(y-a)
4mn3+8m3n216x2yz-4xy42p(y-a)+q(y-a)
a(z-4)-10b(z-4)16xyz+18x3y210a3b-18a2b
16y2-4x216(x+p)2-25(x-q)264a2-81b2
81x4-y4a3b-81ab4a2-16
1
a2-—b2x2y-36y-a2+16
36
c2+8c+1664d2-80d+2536x2-84xy+49y2
x2-10xy+25y2-49a2+14ab-b27mx2+14mxy+7my2
(x-y)2-8(x-y)+1664(b-c)2-64(b-c)+169m2+42mn+49n2
20a6b5c-20a3b6dx+6dym(y-a)-n(y-a)
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