求100道因式分解 因式分解 100道
100\u9053\u56e0\u5f0f\u5206\u89e3\u53ca\u7b54\u68481.\u628a\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f
\uff081\uff0912a3b2\uff0d9a2b+3ab;
\uff082\uff09a\uff08x+y\uff09\uff0d\uff08a\uff0db\uff09\uff08x+y\uff09;
\uff083\uff09121x2\uff0d144y2;
\uff084\uff094\uff08a\uff0db\uff092\uff0d\uff08x\uff0dy\uff092;
\uff085\uff09\uff08x\uff0d2\uff092+10\uff08x\uff0d2\uff09+25;
\uff086\uff09a3\uff08x+y\uff092\uff0d4a3c2.
2.\u7528\u7b80\u4fbf\u65b9\u6cd5\u8ba1\u7b97
\uff081\uff096.42\uff0d3.62;
\uff082\uff0921042\uff0d1042
\uff083\uff091.42\u00d79\uff0d2.32\u00d736
\u7b2c\u4e8c\u7ae0 \u5206\u89e3\u56e0\u5f0f\u7efc\u5408\u7ec3\u4e60
\u4e00\u3001\u9009\u62e9\u9898
1.\u4e0b\u5217\u5404\u5f0f\u4e2d\u4ece\u5de6\u5230\u53f3\u7684\u53d8\u5f62,\u662f\u56e0\u5f0f\u5206\u89e3\u7684\u662f\uff08 \uff09
(A)(a+3)(a-3)=a2-9 (B)x2+x-5=(x-2)(x+3)+1
(C)a2b+ab2=ab(a+b) (D)x2+1=x(x+ )
2.\u4e0b\u5217\u5404\u5f0f\u7684\u56e0\u5f0f\u5206\u89e3\u4e2d\u6b63\u786e\u7684\u662f\uff08 \uff09
(A)-a2+ab-ac= -a(a+b-c) (B)9xyz-6x2y2=3xyz(3-2xy)
(C)3a2x-6bx+3x=3x(a2-2b) (D) xy2+ x2y= xy(x+y)
3.\u628a\u591a\u9879\u5f0fm2(a-2)+m(2-a)\u5206\u89e3\u56e0\u5f0f\u7b49\u4e8e\uff08 \uff09
(A)(a-2)(m2+m) (B)(a-2)(m2-m) (C)m(a-2)(m-1) (D)m(a-2)(m+1)
4.\u4e0b\u5217\u591a\u9879\u5f0f\u80fd\u5206\u89e3\u56e0\u5f0f\u7684\u662f\uff08 \uff09
(A)x2-y (B)x2+1 (C)x2+y+y2 (D)x2-4x+4
5.\u4e0b\u5217\u591a\u9879\u5f0f\u4e2d,\u4e0d\u80fd\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u5206\u89e3\u56e0\u5f0f\u7684\u662f\uff08 \uff09
(A) (B) (C) (D)
6.\u591a\u9879\u5f0f4x2+1\u52a0\u4e0a\u4e00\u4e2a\u5355\u9879\u5f0f\u540e,\u4f7f\u5b83\u80fd\u6210\u4e3a\u4e00\u4e2a\u6574\u5f0f\u7684\u5b8c\u5168\u5e73\u65b9,\u5219\u52a0\u4e0a\u7684\u5355\u9879\u5f0f\u4e0d\u53ef\u4ee5\u662f\uff08 \uff09
(A)4x (B)-4x (C)4x4 (D)-4x4
7.\u4e0b\u5217\u5206\u89e3\u56e0\u5f0f\u9519\u8bef\u7684\u662f\uff08 \uff09
(A)15a2+5a=5a(3a+1) (B)-x2-y2= -(x2-y2)= -(x+y)(x-y)
(C)k(x+y)+x+y=(k+1)(x+y) (D)a3-2a2+a=a(a-1)2
8.\u4e0b\u5217\u591a\u9879\u5f0f\u4e2d\u4e0d\u80fd\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u5206\u89e3\u7684\u662f\uff08 \uff09
(A)-a2+b2 (B)-x2-y2 (C)49x2y2-z2 (D)16m4-25n2p2
9.\u4e0b\u5217\u591a\u9879\u5f0f\uff1a\u246016x5-x\uff1b\u2461(x-1)2-4(x-1)+4\uff1b\u2462(x+1)4-4x(x+1)+4x2\uff1b\u2463-4x2-1+4x,\u5206\u89e3\u56e0\u5f0f\u540e,\u7ed3\u679c\u542b\u6709\u76f8\u540c\u56e0\u5f0f\u7684\u662f\uff08 \uff09
(A)\u2460\u2461 (B)\u2461\u2463 (C)\u2462\u2463 (D)\u2461\u2462
10.\u4e24\u4e2a\u8fde\u7eed\u7684\u5947\u6570\u7684\u5e73\u65b9\u5dee\u603b\u53ef\u4ee5\u88ab k\u6574\u9664,\u5219k\u7b49\u4e8e\uff08 \uff09
(A)4 (B)8 (C)4\u6216-4 (D)8\u7684\u500d\u6570
\u4e8c\u3001\u586b\u7a7a\u9898
11.\u5206\u89e3\u56e0\u5f0f\uff1am3-4m= .
12.\u5df2\u77e5x+y=6,xy=4,\u5219x2y+xy2\u7684\u503c\u4e3a .
13.\u5c06xn-yn\u5206\u89e3\u56e0\u5f0f\u7684\u7ed3\u679c\u4e3a(x2+y2)(x+y)(x-y),\u5219n\u7684\u503c\u4e3a .
14.\u82e5ax2+24x+b=(mx-3)2,\u5219a= ,b= ,m= .(\u7b2c15\u9898\u56fe)
15.\u89c2\u5bdf\u56fe\u5f62,\u6839\u636e\u56fe\u5f62\u9762\u79ef\u7684\u5173\u7cfb,\u4e0d\u9700\u8981\u8fde\u5176\u4ed6\u7684\u7ebf,\u4fbf\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u7528\u6765\u5206\u89e3\u56e0\u5f0f\u7684\u516c\u5f0f,\u8fd9\u4e2a\u516c\u5f0f\u662f .
\u4e09\u3001(\u6bcf\u5c0f\u98986\u5206,\u517124\u5206)
16.\u5206\u89e3\u56e0\u5f0f\uff1a(1)-4x3+16x2-26x (2) a2(x-2a)2- a(2a-x)3
\uff083\uff0956x3yz+14x2y2z\uff0d21xy2z2 (4)mn(m\uff0dn)\uff0dm(n\uff0dm)
17.\u5206\u89e3\u56e0\u5f0f\uff1a(1) 4xy\u2013(x2-4y2) (2)- (2a-b)2+4(a - b)2
18.\u5206\u89e3\u56e0\u5f0f\uff1a(1)-3ma3+6ma2-12ma (2) a2(x-y)+b2(y-x)
19\u3001\u5206\u89e3\u56e0\u5f0f
\uff081\uff09 \uff1b \uff082\uff09 \uff1b
\uff083\uff09 \uff1b
20.\u5206\u89e3\u56e0\u5f0f\uff1a(1) ax2y2+2axy+2a (2)(x2-6x)2+18(x2-6x)+81 (3) \u20132x2n-4xn
21\uff0e\u5c06\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f\uff1a
\uff081\uff09 \uff1b \uff082\uff09 \uff1b \uff083\uff09 \uff1b
22\uff0e\u5206\u89e3\u56e0\u5f0f\uff081\uff09 \uff1b \uff082\uff09 \uff1b
23.\u7528\u7b80\u4fbf\u65b9\u6cd5\u8ba1\u7b97\uff1a
(1)57.6\u00d71.6+28.8\u00d736.8-14.4\u00d780 (2)39\u00d737-13\u00d734
\uff083\uff09\uff0e13.7
24\uff0e\u8bd5\u8bf4\u660e\uff1a\u4e24\u4e2a\u8fde\u7eed\u5947\u6570\u7684\u5e73\u65b9\u5dee\u662f\u8fd9\u4e24\u4e2a\u8fde\u7eed\u5947\u6570\u548c\u76842\u500d.
25\uff0e\u5982\u56fe,\u5728\u4e00\u5757\u8fb9\u957f\u4e3aa\u5398\u7c73\u7684\u6b63\u65b9\u5f62\u7eb8\u677f\u56db\u89d2,\u5404\u526a\u53bb\u4e00\u4e2a\u8fb9\u957f\u4e3a b(b< )\u5398\u7c73\u7684\u6b63\u65b9\u5f62,\u5229\u7528\u56e0\u5f0f\u5206\u89e3\u8ba1\u7b97\u5f53a=13.2,b=3.4\u65f6,\u5269\u4f59\u90e8\u5206\u7684\u9762\u79ef.
26\uff0e\u5c06\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f
\uff081\uff09
\uff082\uff09 \uff1b
(3) (4)
(5)
(6)
(7) (8)
(9) \uff0810\uff09(x2+y2)2-4x2y2
\uff0812\uff09\uff0ex6n+2+2x3n+2+x2 \uff0813\uff09\uff0e9(a+1)2(a-1)2-6(a2-1)(b2-1)+(b+1)2(b-1)2
27.\u5df2\u77e5(4x-2y-1)2+ =0,\u6c424x2y-4x2y2+xy2\u7684\u503c.
28\uff0e\u5df2\u77e5\uff1aa=10000,b=9999,\u6c42a2+b2\uff0d2ab\uff0d6a+6b+9\u7684\u503c.
29\uff0e\u8bc1\u660e58-1\u89e3\u88ab20\u223d30\u4e4b\u95f4\u7684\u4e24\u4e2a\u6574\u6570\u6574\u9664
30.\u5199\u4e00\u4e2a\u591a\u9879\u5f0f,\u518d\u628a\u5b83\u5206\u89e3\u56e0\u5f0f(\u8981\u6c42\uff1a\u591a\u9879\u5f0f\u542b\u6709\u5b57\u6bcdm\u548cn,\u7cfb\u6570\u3001\u6b21\u6570\u4e0d\u9650,\u5e76\u80fd\u5148\u7528\u63d0\u53d6\u516c\u56e0\u5f0f\u6cd5\u518d\u7528\u516c\u5f0f\u6cd5\u5206\u89e3).
31.\u89c2\u5bdf\u4e0b\u5217\u5404\u5f0f\uff1a
12+(1\u00d72)2+22=9=32
22+(2\u00d73)2+32=49=72
32+(3\u00d74)2+42=169=132
\u2026\u2026
\u4f60\u53d1\u73b0\u4e86\u4ec0\u4e48\u89c4\u5f8b?\u8bf7\u7528\u542b\u6709n(n\u4e3a\u6b63\u6574\u6570)\u7684\u7b49\u5f0f\u8868\u793a\u51fa\u6765,\u5e76\u8bf4\u660e\u5176\u4e2d\u7684\u9053\u7406.
32.\u9605\u8bfb\u4e0b\u5217\u56e0\u5f0f\u5206\u89e3\u7684\u8fc7\u7a0b,\u518d\u56de\u7b54\u6240\u63d0\u51fa\u7684\u95ee\u9898\uff1a
1+x+x(x+1)+x(x+1)2=(1+x)[1+x+x(x+1)]
=(1+x)2(1+x)
=(1+x)3
(1)\u4e0a\u8ff0\u5206\u89e3\u56e0\u5f0f\u7684\u65b9\u6cd5\u662f ,\u5171\u5e94\u7528\u4e86 \u6b21.
(2)\u82e5\u5206\u89e31+x+x(x+1)+x(x+1)2+\u2026+ x(x+1)2004,\u5219\u9700\u5e94\u7528\u4e0a\u8ff0\u65b9\u6cd5 \u6b21,\u7ed3\u679c\u662f .
(3)\u5206\u89e3\u56e0\u5f0f\uff1a1+x+x(x+1)+x(x+1)2+\u2026+ x(x+1)n(n\u4e3a\u6b63\u6574\u6570).
34\uff0e\u82e5a\u3001b\u3001c\u4e3a\u25b3ABC\u7684\u4e09\u8fb9,\u4e14\u6ee1\u8db3a2+b2+c2\uff0dab\uff0dbc\uff0dca=0.\u63a2\u7d22\u25b3ABC\u7684\u5f62\u72b6,\u5e76\u8bf4\u660e\u7406\u7531.
35\uff0e\u9605\u8bfb\u4e0b\u5217\u8ba1\u7b97\u8fc7\u7a0b\uff1a
99\u00d799+199=992+2\u00d799+1=\uff0899+1\uff092=100 2=10 4
1\uff0e\u8ba1\u7b97\uff1a
999\u00d7999+1999=____________=_______________=_____________=_____________\uff1b
9999\u00d79999+19999=__________=_______________=______________=_______________.
2\uff0e\u731c\u60f39999999999\u00d79999999999+19999999999\u7b49\u4e8e\u591a\u5c11?\u5199\u51fa\u8ba1\u7b97\u8fc7\u7a0b.
\uff09 3a³b²c\uff0d12a²b²c2\uff0b9ab²c³
2.\uff09 16x²\uff0d81
3.\uff09 xy\uff0b6\uff0d2x\uff0d3y
4.\uff09 x² (x\uff0dy)\uff0by² (y\uff0dx)
5.\uff09 2x²\uff0d(a\uff0d2b)x\uff0dab
6.\uff09 a4\uff0d9a²b²
7.\uff09 x³\uff0b3x²\uff0d4
8.\uff09 ab(x²\uff0dy²)\uff0bxy(a²\uff0db²)
9.\uff09 (x\uff0by)(a\uff0db\uff0dc)\uff0b(x\uff0dy)(b\uff0bc\uff0da)
10.\uff09 a²\uff0da\uff0db²\uff0db
11.\uff09 (3a\uff0db)²\uff0d4(3a\uff0db)(a\uff0b3b)\uff0b4(a\uff0b3b)²
12.\uff09 (a\uff0b3) ²\uff0d6(a\uff0b3)
13.\uff09 (x\uff0b1) ²(x\uff0b2)\uff0d(x\uff0b1)(x\uff0b2) ²
14\uff0e\uff0916x²\uff0d81
15.\uff09 9x²\uff0d30x\uff0b25
16.\uff09 x²\uff0d7x\uff0d30
17.) x(x\uff0b2)\uff0dx
18.) x²\uff0d4x\uff0dax\uff0b4a
19.) 25x²\uff0d49
20.) 36x²\uff0d60x\uff0b25
21.) 4x²\uff0b12x\uff0b9
22.) x²\uff0d9x\uff0b18
23.) 2x²\uff0d5x\uff0d3
24.) 12x²\uff0d50x\uff0b8
25.) 3x²\uff0d6x
26.) 49x²\uff0d25
27.) 6x²\uff0d13x\uff0b5
28.) x²\uff0b2\uff0d3x
29.) 12x²\uff0d23x\uff0d24
30.) (x\uff0b6)(x\uff0d6)\uff0d(x\uff0d6)
31.) 3(x\uff0b2)(x\uff0d5)\uff0d(x\uff0b2)(x\uff0d3)
32.) 9x²\uff0b42x\uff0b49
33.) x4\uff0d2x³\uff0d35x
34.) 3x6\uff0d3x²
35.\uff09 x²\uff0d25
36.\uff09 x²\uff0d20x\uff0b100
37.\uff09 x²\uff0b4x\uff0b3
38.\uff09 4x²\uff0d12x\uff0b5
39.\uff09 3ax²\uff0d6ax
40.\uff09 (x\uff0b2)(x\uff0d3)\uff0b(x\uff0b2)(x\uff0b4)
41.\uff09 2ax²\uff0d3x\uff0b2ax\uff0d3
42.\uff09 9x²\uff0d66x\uff0b121
43.\uff09 8\uff0d2x²
44.\uff09 x²\uff0dx\uff0b14
45.\uff09 9x²\uff0d30x\uff0b25
46.\uff09\uff0d20x²\uff0b9x\uff0b20
47.\uff09 12x²\uff0d29x\uff0b15
48.\uff09 36x²\uff0b39x\uff0b9
49.\uff09 21x²\uff0d31x\uff0d22
50.\uff09 9x4\uff0d35x²\uff0d4
51.\uff09 (2x\uff0b1)(x\uff0b1)\uff0b(2x\uff0b1)(x\uff0d3)
52.\uff09 2ax²\uff0d3x\uff0b2ax\uff0d3
53.\uff09 x(y\uff0b2)\uff0dx\uff0dy\uff0d1
54.) (x²\uff0d3x)\uff0b(x\uff0d3) ²
55.) 9x²\uff0d66x\uff0b121
56.) 8\uff0d2x²
57.) x4\uff0d1
58.) x²\uff0b4x\uff0dxy\uff0d2y\uff0b4
59.) 4x²\uff0d12x\uff0b5
60.) 21x²\uff0d31x\uff0d22
61.) 4x²\uff0b4xy\uff0by²\uff0d4x\uff0d2y\uff0d3
62.) 9x5\uff0d35x3\uff0d4x
63.\uff09 \u82e5(2x)n−81 = (4x2+9)(2x+3)(2x−3)\uff0c\u90a3\u4e48n\u7684\u503c\u662f( )
64.) \u82e59x²−12xy+m\u662f\u4e24\u6570\u548c\u7684\u5e73\u65b9\u5f0f\uff0c\u90a3\u4e48m\u7684\u503c\u662f( )
65) \u628a\u591a\u9879\u5f0fa4− 2a²b²+b4\u56e0\u5f0f\u5206\u89e3\u7684\u7ed3\u679c\u4e3a( )
66.) \u628a(a+b) ²−4(a²−b²)+4(a−b) ²\u5206\u89e3\u56e0\u5f0f\u4e3a( )
3.因式分解xy＋6－2x－3y＝(x-3)(y-2)
4.因式分解x2(x－y)＋y2(y－x)＝(x+y)(x-y)^2
5.因式分解2x2－(a－2b)x－ab＝(2x-a)(x+b)
6.因式分解a4－9a2b2＝a^2(a+3b)(a-3b)
7.若已知x3＋3x2－4含有x－1的因式，试分解x3＋3x2－4＝(x-1)(x+2)^2
8.因式分解ab(x2－y2)＋xy(a2－b2)＝(ay+bx)(ax-by)
9.因式分解(x＋y)(a－b－c)＋(x－y)(b＋c－a)＝2y(a-b-c)
10.因式分解a2－a－b2－b＝(a+b)(a-b-1)
11.因式分解(3a－b)2－4(3a－b)(a＋3b)＋4(a＋3b)2＝[3a-b-2(a+3b)]^2=(a-7b)^2
12.因式分解(a＋3)2－6(a＋3)＝(a+3)(a-3)
13.因式分解(x＋1)2(x＋2)－(x＋1)(x＋2)2＝-(x+1)(x+2)
abc＋ab－4a＝a(bc+b-4)
(2)16x2－81＝(4x+9)(4x-9)
(3)9x2－30x＋25＝(3x-5)^2
(4)x2－7x－30＝(x-10)(x+3)
35.因式分解x2－25＝(x+5)(x-5)
36.因式分解x2－20x＋100＝(x-10)^2
37.因式分解x2＋4x＋3＝(x+1)(x+3)
38.因式分解4x2－12x＋5＝(2x-1)(2x-5)
39.因式分解下列各式：
(1)3ax2－6ax＝3ax(x-2)
(2)x(x＋2)－x＝x(x+1)
(3)x2－4x－ax＋4a＝(x-4)(x-a)
(4)25x2－49＝(5x-9)(5x+9)
(5)36x2－60x＋25＝(6x-5)^2
(6)4x2＋12x＋9＝(2x+3)^2
(7)x2－9x＋18＝(x-3)(x-6)
(8)2x2－5x－3＝(x-3)(2x+1)
(9)12x2－50x＋8＝2(6x-1)(x-4)
40.因式分解(x＋2)(x－3)＋(x＋2)(x＋4)＝(x+2)(2x-1)
41.因式分解2ax2－3x＋2ax－3＝ (x+1)(2ax-3)
42.因式分解9x2－66x＋121＝(3x-11)^2
43.因式分解8－2x2＝2(2+x)(2-x)
44.因式分解x2－x＋14 ＝整数内无法分解
45.因式分解9x2－30x＋25＝(3x-5)^2
46.因式分解－20x2＋9x＋20＝(-4x+5)(5x+4)
47.因式分解12x2－29x＋15＝(4x-3)(3x-5)
48.因式分解36x2＋39x＋9＝3(3x+1)(4x+3)
49.因式分解21x2－31x－22＝(21x+11)(x-2)
50.因式分解9x4－35x2－4＝(9x^2+1)(x+2)(x-2)
51.因式分解(2x＋1)(x＋1)＋(2x＋1)(x－3)＝2(x-1)(2x+1)
52.因式分解2ax2－3x＋2ax－3＝(x+1)(2ax-3)
53.因式分解x(y＋2)－x－y－1＝(x-1)(y+1)
54.因式分解(x2－3x)＋(x－3)2＝(x-3)(2x-3)
55.因式分解9x2－66x＋121＝(3x-11)^2
56.因式分解8－2x2＝2(2-x)(2+x)
57.因式分解x4－1＝(x-1)(x+1)(x^2+1)
58.因式分解x2＋4x－xy－2y＋4＝(x+2)(x-y+2)
59.因式分解4x2－12x＋5＝(2x-1)(2x-5)
60.因式分解21x2－31x－22＝(21x+11)(x-2)
61.因式分解4x2＋4xy＋y2－4x－2y－3＝(2x+y-3)(2x+y+1)
62.因式分解9x5－35x3－4x＝x(9x^2+1)(x+2)(x-2)
63.因式分解下列各式：
(1)3x2－6x＝3x(x-2)
(2)49x2－25＝(7x+5)(7x-5)
(3)6x2－13x＋5＝(2x-1)(3x-5)
(4)x2＋2－3x＝(x-1)(x-2)
(5)12x2－23x－24＝(3x-8)(4x+3)
(6)(x＋6)(x－6)－(x－6)＝(x-6)(x+5)
(7)3(x＋2)(x－5)－(x＋2)(x－3)＝2(x-6)(x+2)
(8)9x2＋42x＋49＝(3x+7)^2 。
71.计算(22 + 42 + 62 +……+20002)﹣(12 + 32 + 52 +……+19992).
解：平方差公式
原式=(22﹣12)+( 42﹣32)+( 62﹣52)+…..+( 20002﹣19992)
= 3 + 7 + 11 +……+ 3999（首尾相加，共有500个4002）
= 4002×500= 2001000
绛旓細鍥犲紡鍒嗚В(x+2)(x-3)+(x+2)(x+4)=銆 41.鍥犲紡鍒嗚В2ax2-3x+2ax-3= 銆 42.鍥犲紡鍒嗚В9x2-66x+121= 銆 43.鍥犲紡鍒嗚В8-2x2= 銆 44.鍥犲紡鍒嗚Вx2-x+14 =銆 45.鍥犲紡鍒嗚В9x2-30x+25= 銆 46.鍥犲紡鍒嗚В-20x2+9x+20= 銆 47.鍥犲紡鍒嗚В12x2-29x+15= 銆 48.鍥犲紡鍒嗚В36x2+39x+9= 銆 49.鍥...
绛旓細(9)12x2锛50x锛8锛 銆40.鍥犲紡鍒嗚В(x锛2)(x锛3)锛(x锛2)(x锛4)锛 銆41.鍥犲紡鍒嗚В2ax2锛3x锛2ax锛3锛 銆42.鍥犲紡鍒嗚В9x2锛66x锛121锛 銆
绛旓細41.鍥犲紡鍒嗚В2ax2锛3x锛2ax锛3锛 (x+1)(2ax-3)42.鍥犲紡鍒嗚В9x2锛66x锛121锛(3x-11)^2 43.鍥犲紡鍒嗚В8锛2x2锛2(2+x)(2-x)44.鍥犲紡鍒嗚Вx2锛峹锛14 锛濇暣鏁板唴鏃犳硶鍒嗚В 45.鍥犲紡鍒嗚В9x2锛30x锛25锛(3x-5)^2 46.鍥犲紡鍒嗚В锛20x2锛9x锛20锛(-4x+5)(5x+4)47.鍥犲紡鍒嗚В12x2锛29x锛...
绛旓細5.鍥犲紡鍒嗚В2x2-(a-2b)x-ab= 6.鍥犲紡鍒嗚Вa4-9a2b2= 7.鑻ュ凡鐭3+3x2-4鍚湁x-1鐨勫洜寮,璇曞垎瑙3+3x2-4= 8.鍥犲紡鍒嗚Вab(x2-y2)+xy(a2-b2)= 9.鍥犲紡鍒嗚В(x+y)(a-b-c)+(x-y)(b+c-a)= 10.鍥犲紡鍒嗚Вa2-a-b2-b= 11.鍥犲紡鍒嗚В(3a-b)2-4(3a-b)(a+3b)+4(a+3b)2= 12.鍥犲紡鍒嗚В(a...
绛旓細1銆乆^2-Y^2=(X+Y)(X-Y)2銆4X^2-4Y^2=(2X+2Y)(2X-2Y)3銆乆^2-2XY+Y^2=(X-Y)*(X-Y)4銆2X^2-3X+1=(2X-1)(X-1)5銆3Y^-5Y+2=(3Y-2)(Y-1)6銆7X^2-8X+1=(7X-1)(X-1)7銆3X^2+4X+1=(3X+1)(X+1)8銆4X^+10X+6=(2X+3)(2X+2)9銆5Y^2-9Y-2=(...
绛旓細杩欐槸鎴戝垰鍒氬洖绛旂殑4涓鍥犲紡鍒嗚В锛岃瘯璇曠湅鈶爔³+4x²-9;=x³+3x²+x²-9 =x²(x+3)+(x+3)(x-3)=(x+3)(x²+x-3)鈶³+5x²-18;=x³+3x²+2x²-18 =x²(x+3)+2(x+3)(x-3)=(x+3)(x²+...
绛旓細锛堜竴锛144(x^2-1)^2-100x^2 =[12(x²-1)]²-(10x)²=(2x-12)(22x-12)=4(x-6)(11x-6)锛堜簩锛(X^2+Y^2)(x^2-xy+y^2)-2路x^2路y^2 =(x²+y²)²-xy(x²+y²)-2x²y²=(x²+y²-2xy)(x&#...
绛旓細abc锛媋b锛4a锛漚(bc+b-4)(2)16x2锛81锛(4x+9)(4x-9)(3)9x2锛30x锛25锛(3x-5)^2 (4)x2锛7x锛30锛(x-10)(x+3)35.鍥犲紡鍒嗚Вx2锛25锛(x+5)(x-5)36.鍥犲紡鍒嗚Вx2锛20x锛100锛(x-10)^2 37.鍥犲紡鍒嗚Вx2锛4x锛3锛(x+1)(x+3)38.鍥犲紡鍒嗚В4x2锛12x锛5锛(2x-1)(2x-5)...
绛旓細x2+2xy+y2=(x+y)2 x2-y2=(x+y)(x-y)x²-7x+12=(x-3)(x-4),2x²-9x-5=(x-5)(2x+1),12x²+7x+3=(3x+1)(4x+1),5x²+17x-12=(x+4)(5x-3)...
绛旓細1锛庝笅鍒楀悇寮忕殑鍥犲紡鍒嗚В缁撴灉涓紝姝ｇ‘鐨勬槸 [ ]A锛巃2b锛7ab锛峛锛漛(a2锛7a)B锛3x2y锛3xy锛6y=3y(x锛2)(x锛1)C锛8xyz锛6x2y2锛2xyz(4锛3xy)D锛庯紞2a2锛4ab锛6ac锛濓紞2a(a锛2b锛3c)2锛庡椤瑰紡m(n锛2)锛峬2(2锛峮)鍒嗚В鍥犲紡绛変簬 [ ]A锛(n锛2)(m锛媘2) B锛(n锛2)(m锛峬2)C锛巑...
