人教版八年级数学上册因式分解综合练习题大全84.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84.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84
81b2-x2(x-p)2-25(x-q)236a2-49b2
b4-y4a3b-49aba2-16
1
a2-—b2x2y-y-m4+256
36
d2+4d+436d2+24d+49x2+24xy+16y2
x2-12xy+36y2-64a2+16ab-b29mx2-18mxy+9my2
(m+n)2-10(m+n)+259(b-c)2+12(b-c)+425m2+70mn+49n2
16a4b5c+20ab10cx-7cy10m(z-c)+5n(z-c)
16mn2+12mn2xy2z-20x2yp(z-a)+2q(z-a)
a(x-9)-8(x-9)18x4yz+14x2y12ab-2a3b3
81c2-x2(x-p)2-(x+q)2a2-b2
81b4-y4a3b-ab16a2-4
1
a2-—b2x2y-y-m4+1
16
x2+10x+2549y2-56y+1636x2+36xy+9y2
x2+20xy+100y2-81a2+18ab-b28dx2-16dxy+8dy2
(m-n)2+6(m-n)+94(m+n)2+4(m+n)+116m2+32mn+16n2
10abc+10a3b4dx+7dy4m(y-c)-4n(y-c)
4m4n+20mn6x3y4z+8x3yp(x3-c2)+q(x3-c2)
a(z-5)+(z-5)16x5y5z-6x5y412ab3+16ab
16a2-25x2(x-p)2-(x-q)225a2-b2
x4-y4a3b-49ab9a2-4
1
a2-—b2x2y-y-n4+1
25
b2-4b+49x2+12x+449x2+56xy+16y2
x2+8xy+16y2-49a2-14ab-b25nx2-10nxy+5ny2
(a+b)2+8(a+b)+1681(b+c)2-90(b+c)+254m2-28mn+49n2
12a6b4c+2a2b34mx+4mym(x-a)-n(x-a)
16mn2-18m3n14x3y2z+6xy8p(y2-a)+4q(y2-a)
2a(x-4)+b(x-4)18x5y4z+20xy4a4b+16a2b
y2-81x2(x+p)2-16(x-q)264a2-16b2
81c4-y4a3b-aba2-49
1
a2-—b2x2y-9y-m4+81
36
c2+8c+1649b2+56b+1636x2-72xy+36y2
x2-12xy+36y2-81a2+18ab-b28ax2+16axy+8ay2
(x-y)2+12(x-y)+3649(x+y)2+84(x+y)+3625m2+30mn+9n2
14ab5c+18a2b310dx+5dym(x-a)+n(x-a)
16m2n2-10mn218x2yz-16x2y3p(z2-c2)-3q(z2-c2)
a(x2-4)-7b(x2-4)16x5y5z+4x3y420a3b-18ab
25a2-x29(x+p)2-(x+q)2a2-b2
a4-y4a3b-64ab16a2-81
1
a2-—b2x2y-100y-n2+256
9
x2-10x+2564c2-80c+2525x2-50xy+25y2
x2-12xy+36y2-100a2+20ab-b210cx2-20cxy+10cy2
(a+b)2-10(a+b)+2536(m-n)2+36(m-n)+925m2-40mn+16n2
12a5bc+8a6b35ax+7aym(z-c)-9n(z-c)
16m4n2+4m2n216xy4z+6x4y3p(y-c)-q(y-c)
a(y-6)-9(y-6)4xy3z+14xy416a2b-8ab
9d2-4x2(x+p)2-(x-q)216a2-b2
16x4-y4a3b-16aba2-25
1
a2-—b2x2y-y-a2+16
81
b2-8b+1681a2-18a+116x2-16xy+4y2
x2+12xy+36y2-36a2-12ab-b25dx2+10dxy+5dy2
(m+n)2-6(m+n)+936(a-b)2+12(a-b)+19m2-24mn+16n2
4ab4c-8ab5mx-5my8m(y-c)-6n(y-c)
20m4n2-2m4n28x4yz+16x2yp(z-b3)-2q(z-b3)
a(y2-7)+7b(y2-7)10x5yz-4x3y312a4b3+4a3b3
y2-x2(x+p)2-(x-q)2a2-b2
a4-y4a3b-ab4a2-100
1
a2-—b2x2y-y-b4+81
36
x2+10x+2536x2-48x+1625x2+50xy+25y2
x2-16xy+64y2-36a2-12ab-b22nx2+4nxy+2ny2
(m-n)2-4(m-n)+464(a-b)2-80(a-b)+2525m2-60mn+36n2
2a2b4c-8a2b64bx-9by7m(z-a)+n(z-a)
2mn-18mn212xyz-4xy4p(y2-a)+3q(y2-a)
a(z2-3)-(z2-3)12x2y6z+14x4y16a2b2+20a2b3
16y2-100x216(x+p)2-4(x-q)236a2-b2
81c4-y4a3b-16ab16a2-64
1
a2-—b2x2y-y-m2+16
49
b2+6b+94y2-8y+416x2+56xy+49y2
x2+10xy+25y2-4a2-4ab-b26mx2+12mxy+6my2
(m-n)2+6(m-n)+99(a-b)2+30(a-b)+2516m2+32mn+16n2
14a2bc-2ab7nx-8ny6m(x-c)-2n(x-c)
4mn-12mn2xyz-4xy4p(z3-a2)-q(z3-a2)
a(y2-7)-6(y2-7)12xyz+6x6y514a3b+6ab
4d2-81x225(x+p)2-16(x-q)225a2-81b2
x4-y4a3b-ab9a2-81
1
a2-—b2x2y-y-x4+256
9
b2-12b+364d2+16d+1616x2+16xy+4y2
x2+14xy+49y2-9a2-6ab-b24ax2-8axy+4ay2
(x+y)2-6(x+y)+949(m-n)2+28(m-n)+49m2-12mn+4n2
14a4bc+8a2b38ax+6aym(x-b)-n(x-b)
20m3n-12mn16x2yz-2xy4p(z-c)-q(z-c)
4a(z-9)-6b(z-9)16x3y4z+16x2y612ab4-12a2b
c2-100x2(x-p)2-(x+q)2a2-b2
81a4-y4a3b-ab16a2-81
1
a2-—b2x2y-64y-b2+16
16
c2+6c+916c2-8c+19x2-18xy+9y2
x2+6xy+9y2-100a2+20ab-b22dx2+4dxy+2dy2
(m+n)2+12(m+n)+3636(b-c)2-12(b-c)+149m2-70mn+25n2
8a3bc-18ab510nx-3nym(x-b)+n(x-b)
10mn3-8mn4x3yz+18xy6p(y3-b3)+5q(y3-b3)
10a(x-2)-5(x-2)2xyz+4xy4ab3-4ab
y2-81x24(x-p)2-(x-q)2a2-b2
b4-y4a3b-aba2-25
1
a2-—b2x2y-100y-b2+256
64
b2+10b+2581x2-54x+916x2+56xy+49y2
x2+4xy+4y2-16a2-8ab-b23cx2+6cxy+3cy2
(x+y)2-12(x+y)+364(m-n)2-8(m-n)+44m2+20mn+25n2
4abc+12ab54mx+7mym(y-c)-n(y-c)
16mn2-8mn214xyz+20x2y38p(z-b)-5q(z-b)
a(y2-1)+3b(y2-1)12xy3z-10xy44a3b-2a3b3
9y2-64x2(x-p)2-(x-q)281a2-4b2
d4-y4a3b-aba2-36
1
a2-—b2x2y-81y-y2+256
81
b2-6b+936c2-24c+436x2-60xy+25y2
x2+10xy+25y2-81a2-18ab-b23cx2+6cxy+3cy2
(x+y)2-8(x+y)+1649(x-y)2-70(x-y)+2516m2+24mn+9n2
20a6b5c-20ab53ax+10aym(y-a)-8n(y-a)
20m2n-14m4n18x4y3z+12x4y44p(z-a2)-6q(z-a2)
8a(x-4)-b(x-4)14x4yz-14x6y54ab2-14ab
y2-x24(x+p)2-(x-q)29a2-b2
a4-y4a3b-aba2-49
1
a2-—b2x2y-y-m4+256
64
b2+6b+925a2+40a+1625x2-60xy+36y2
x2+20xy+100y2-49a2-14ab-b27dx2-14dxy+7dy2
(b-c)2+12(b-c)+3649(x+y)2+84(x+y)+364m2+16mn+16n2
6a2bc+12ab4bx+7by5m(x-b)+n(x-b)
12m2n+16m4n24x2yz+16xy44p(x3-c)+5q(x3-c)
a(z2-8)-4(z2-8)2xyz+14xy612a2b4-10ab2
d2-49x216(x-p)2-9(x-q)29a2-4b2
c4-y4a3b-81ab4a2-1
1
a2-—b2x2y-y-a4+81
81
d2-6d+949b2-84b+3636x2+36xy+9y2
x2-14xy+49y2-25a2-10ab-b26ax2+12axy+6ay2
(m+n)2+4(m+n)+464(m-n)2-48(m-n)+925m2+30mn+9n2
16abc-18ab6mx-10my9m(y-b)+3n(y-b)
10m3n-10m3n2x4yz+2xy32p(z-a)-q(z-a)
10a(z-7)-(z-7)18xyz-6x4y18ab+18a4b2
64y2-49x2(x-p)2-25(x-q)281a2-25b2
a4-y4a3b-aba2-49
1
a2-—b2x2y-y-b4+1
81
y2+12y+369d2-24d+164x2-12xy+9y2
x2-18xy+81y2-100a2+20ab-b210ax2-20axy+10ay2
(x-y)2+8(x-y)+1681(a-b)2-18(a-b)+19m2-12mn+4n2
8a6b6c+4a2b9cx+8cym(y-a)+7n(y-a)
14mn-2mn418x4yz-12xy27p(y-c2)+2q(y-c2)
a(z-5)+8(z-5)18x5y4z+14x6y24a3b-6a3b2
36d2-9x2(x-p)2-36(x-q)2a2-b2
d4-y4a3b-16aba2-49
1
a2-—b2x2y-y-b2+16
16
y2+10y+254a2+8a+49x2-24xy+16y2
x2-8xy+16y2-81a2+18ab-b28ax2+16axy+8ay2
(b+c)2+10(b+c)+2564(b+c)2-16(b+c)+116m2-40mn+25n2
4a6b4c+10a2b3dx+10dym(x-b)+n(x-b)
2mn-10mn320xyz+4xy4p(x3-a)-4q(x3-a)
a(z2-6)+7b(z2-6)8xy5z-16x4y318a2b4+6ab
c2-x236(x-p)2-9(x+q)2a2-49b2
16d4-y4a3b-81aba2-36
1
a2-—b2x2y-81y-x4+256
4
b2-10b+2549b2+42b+925x2-70xy+49y2
x2-10xy+25y2-16a2+8ab-b29dx2+18dxy+9dy2
(a+b)2-4(a+b)+416(x+y)2-8(x+y)+149m2+56mn+16n2
12abc+18ab4mx-5my10m(z-c)-n(z-c)
8mn2+18m4n316x2yz+20x3yp(x2-c3)-9q(x2-c3)
6a(z-6)-2(z-6)16xyz-8x5y12a2b2-14a3b
a2-36x2(x-p)2-9(x+q)2a2-49b2
16d
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