人教版八年级数学上册因式分解综合练习题大全12.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12.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12
a2-x236(x+p)2-(x+q)2a2-64b2
c4-y4a3b-100aba2-36
1
a2-—b2x2y-9y-x2+1
36
d2-6d+964y2+64y+164x2+8xy+4y2
x2+14xy+49y2-64a2+16ab-b22ax2-4axy+2ay2
(a+b)2-10(a+b)+2516(x+y)2+24(x+y)+925m2+40mn+16n2
10abc-16ab5ax-2aym(z-a)-5n(z-a)
10mn2-8mn6x3y2z-8x4y3p(y3-a3)-q(y3-a3)
a(z2-9)-5(z2-9)2x2y6z+4xy520a2b3-10a3b3
36b2-16x2(x-p)2-(x-q)281a2-36b2
x4-y4a3b-aba2-25
1
a2-—b2x2y-y-n2+256
25
a2-8a+169x2-18x+99x2-18xy+9y2
x2+8xy+16y2-81a2+18ab-b27ax2+14axy+7ay2
(a+b)2-6(a+b)+99(b+c)2-12(b+c)+449m2-56mn+16n2
10ab6c+10a4b8ax-9aym(x-a)+n(x-a)
2m2n+14mn414xyz-10xyp(z3-b)-q(z3-b)
a(x2-6)+6b(x2-6)12xy3z-2x4y516ab4+2a4b4
36a2-x2(x-p)2-(x-q)2a2-b2
16x4-y4a3b-aba2-16
1
a2-—b2x2y-y-m4+16
25
b2+8b+169d2-24d+169x2+24xy+16y2
x2-4xy+4y2-49a2-14ab-b210mx2+20mxy+10my2
(a-b)2+12(a-b)+3681(m+n)2-36(m+n)+425m2+60mn+36n2
8a5b6c-10ab4nx-10nym(x-a)-10n(x-a)
2mn-4m2n12xyz-6xy3p(x3-b2)-4q(x3-b2)
9a(z-6)-4b(z-6)20xyz+12xy18a2b4-20ab4
9d2-25x216(x+p)2-(x+q)2a2-b2
c4-y4a3b-49aba2-4
1
a2-—b2x2y-y-a2+256
64
d2+12d+3625x2-50x+2536x2-36xy+9y2
x2+16xy+64y2-49a2+14ab-b27ax2-14axy+7ay2
(m+n)2-12(m+n)+3616(x-y)2-8(x-y)+136m2-60mn+25n2
6a5bc-18a2b5nx-6ny2m(z-c)-8n(z-c)
16mn-14mn14x2yz+8x2yp(y2-a3)-q(y2-a3)
a(z-2)-8(z-2)6xy4z-20x2y14ab+14a2b
c2-36x2(x-p)2-9(x+q)2a2-100b2
81b4-y4a3b-aba2-81
1
a2-—b2x2y-49y-m2+81
9
a2+8a+1649b2-70b+2525x2+60xy+36y2
x2+20xy+100y2-4a2-4ab-b210nx2+20nxy+10ny2
(a+b)2+12(a+b)+364(m-n)2+16(m-n)+164m2-24mn+36n2
16a6bc-2ab9bx+10bym(z-c)-3n(z-c)
6mn+8m3n18x3yz+2x3y4p(x-c3)-q(x-c3)
a(x2-6)+(x2-6)4xyz-4x5y62a3b4-8a3b4
64b2-x2(x-p)2-9(x-q)2a2-b2
81a4-y4a3b-25ab9a2-81
1
a2-—b2x2y-y-m4+16
9
x2-4x+436d2+12d+14x2+8xy+4y2
x2+18xy+81y2-49a2+14ab-b26bx2-12bxy+6by2
(x+y)2-8(x+y)+1616(x+y)2-40(x+y)+259m2+12mn+4n2
12ab3c+14a6b44ax-7aym(z-a)+n(z-a)
6m3n-4mn36x3y2z-6xy25p(y-c3)-6q(y-c3)
5a(y2-7)+8b(y2-7)16xyz-10xy20ab+6a4b
b2-49x216(x-p)2-(x-q)249a2-81b2
16a4-y4a3b-ab9a2-25
1
a2-—b2x2y-y-n2+81
9
c2+6c+94a2+24a+3616x2+56xy+49y2
x2+12xy+36y2-36a2-12ab-b210cx2+20cxy+10cy2
(a+b)2+4(a+b)+464(a+b)2+48(a+b)+949m2-42mn+9n2
6a3bc+10a5b46dx-2dym(y-c)-n(y-c)
6m3n+18m3n20xy2z-20x3y27p(z-a3)+q(z-a3)
10a(z-7)-5b(z-7)8xyz-16xy14ab4+16a2b
d2-100x24(x-p)2-9(x-q)29a2-25b2
b4-y4a3b-aba2-81
1
a2-—b2x2y-y-m4+1
36
y2+10y+2516d2-24d+925x2+50xy+25y2
x2-6xy+9y2-49a2+14ab-b24dx2-8dxy+4dy2
(x+y)2-12(x+y)+3636(m+n)2-24(m+n)+436m2+36mn+9n2
10ab2c-4a6b58cx+3cym(y-b)-9n(y-b)
8m2n-8mn18xy4z-10xy2p(y-b)+q(y-b)
a(x2-8)-(x2-8)16xy4z+2x4y514a4b2-6a3b4
c2-36x2(x-p)2-(x-q)29a2-9b2
a4-y4a3b-25aba2-16
1
a2-—b2x2y-y-a2+81
25
b2-12b+3625a2+30a+916x2-32xy+16y2
x2-12xy+36y2-4a2-4ab-b28cx2-16cxy+8cy2
(a+b)2+4(a+b)+49(m+n)2+36(m+n)+369m2+30mn+25n2
14a5bc-6a6b9nx-10ny4m(z-c)-5n(z-c)
14m2n2+6m3n418xy2z+4xyp(x2-c)-q(x2-c)
8a(z-6)-(z-6)4x6yz+2xy6ab2+8ab
a2-x29(x-p)2-9(x+q)236a2-b2
b4-y4a3b-ab4a2-36
1
a2-—b2x2y-25y-a2+16
9
d2+10d+2549b2+28b+449x2+84xy+36y2
x2-12xy+36y2-36a2-12ab-b22ax2-4axy+2ay2
(a+b)2+4(a+b)+44(a+b)2-20(a+b)+259m2+18mn+9n2
2ab5c+10a2b59ax-10aym(y-a)+n(y-a)
16mn4+18m2n2xy4z-12x2y28p(y2-c2)-10q(y2-c2)
5a(y2-9)-b(y2-9)12xy5z-8xy10a3b+10a3b
a2-x2(x+p)2-(x+q)2a2-b2
81x4-y4a3b-49aba2-25
1
a2-—b2x2y-y-x4+1
64
x2-4x+44c2+4c+14x2+12xy+9y2
x2-6xy+9y2-36a2+12ab-b26ax2-12axy+6ay2
(b-c)2+4(b-c)+416(a+b)2+24(a+b)+925m2+70mn+49n2
4ab4c+6a5b59mx+8my2m(y-b)-n(y-b)
4m2n4+6mn10xyz-16xy49p(x-a3)-6q(x-a3)
4a(z2-5)-(z2-5)12x4y3z+6xy22a3b2+18a3b
c2-81x24(x-p)2-(x-q)2100a2-49b2
16a4-y4a3b-ab9a2-100
1
a2-—b2x2y-49y-b4+16
9
x2-4x+436x2-60x+259x2+12xy+4y2
x2-18xy+81y2-16a2-8ab-b28dx2-16dxy+8dy2
(x+y)2-8(x+y)+1664(m+n)2+96(m+n)+3616m2-48mn+36n2
14a4bc+2ab57ax+3aym(z-a)-6n(z-a)
14m2n+12mn20x2yz+20x3y8p(z2-c2)-q(z2-c2)
a(x-2)+(x-2)12xy2z+6x4y414a3b-12a4b3
y2-49x225(x-p)2-(x+q)236a2-100b2
81x4-y4a3b-25ab16a2-4
1
a2-—b2x2y-y-b4+256
49
d2+6d+981c2-18c+149x2-56xy+16y2
x2-10xy+25y2-49a2-14ab-b210cx2-20cxy+10cy2
(a+b)2+6(a+b)+916(b+c)2+24(b+c)+94m2-8mn+4n2
2a3bc-8ab5ax+6aym(x-c)-9n(x-c)
18m2n+8m2n216x2yz+12xyp(y-c)+6q(y-c)
6a(z2-3)-10(z2-3)20xy3z-18x6y46ab+8a4b2
64b2-x2(x-p)2-16(x+q)281a2-b2
16a4-y4a3b-aba2-100
1
a2-—b2x2y-16y-b2+81
4
a2+10a+2525c2-20c+49x2-24xy+16y2
x2-16xy+64y2-36a2+12ab-b26mx2-12mxy+6my2
(b-c)2+6(b-c)+94(m-n)2+12(m-n)+936m2+72mn+36n2
4a6bc-4a2b6ax-3ay6m(x-a)-n(x-a)
20m4n+16m4n20x3yz-6x4y5p(x3-c)-2q(x3-c)
9a(y-4)-6(y-4)10xy5z+6x5y34ab4-14ab
81y2-9x2(x-p)2-4(x-q)2a2-25b2
d4-y4a3b-ab9a2-49
1
a2-—b2x2y-y-y2+16
36
c2-6c+916x2-24x+916x2-16xy+4y2
x2+14xy+49y2-9a2+6ab-b23cx2-6cxy+3cy2
(b+c)2-12(b+c)+3625(b-c)2-50(b-c)+2536m2-24mn+4n2
14ab6c+16ab47nx-4ny3m(y-a)-7n(y-a)
12mn2+18m4n4xy2z+16xy4p(x-c3)+q(x-c3)
a(x-5)+(x-5)20xy4z-20x3y20a2b+18ab
c2-x2(x-p)2-16(x+q)281a2-49b2
81d4-y4a3b-36aba2-1
1
a2-—b2x2y-y-a4+16
25
d2+12d+3664d2+32d+436x2+24xy+4y2
x2-6xy+9y2-64a2-16ab-b27cx2-14cxy+7cy2
(m-n)2+10(m-n)+2525(m+n)2+30(m+n)+949m2-28mn+4n2
18abc+14a5b7nx-10ny8m(y-c)+n(y-c)
6mn3-10m2n314xy2z-2x3y36p(x-b)-8q(x-b)
a(x-4)-10(x-4)8xy3z+2x4y14a4b+4a3b
36c2-16x2(x-p)2-(x+q)2100a2-b2
x4-y4a3b-4aba2-4
1
a2-—b2x2y-25y-m4+1
49
b2+12b+364d2+4d+149x2-56xy+16y2
x2-8xy+16y2-4a2+4ab-b27nx2+14nxy+7ny2
(a-b)2+12(a-b)+3636(m+n)2-60(m+n)+254m2-16mn+16n2
16abc+14a5b3ax+7ay2m(x-b)+n(x-b)
12mn4+4m3n42x2yz+4xy35p(x3-a)-9q(x3-a)
a(z-8)+5b(z-8)16xy2z-18x6y4ab+6a2b
a2-x236(x+p)2-(x-q)281a2-b2
16c4-y4a3b-aba2-36
1
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