Question

求100道因式分解及附带每题答案！

Answer 1

因式分解3a3b2c－6a2b2c2＋9ab2c3＝3ab^2
c(a^2-2ac+3c^2)
2.因式分解xy＋6－2x－3y＝(x-3)(y-2)
3.因式分解x2(x－y)＋y2(y－x)＝(x+y)(x-y)^2
4.因式分解2x2－(a－2b)x－ab＝(2x-a)(x+b)
5.因式分解a4－9a2b2＝a^2(a+3b)(a-3b)
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
.
x^2+7x+12=(x+3)(x+4)
x^2-7x+12=(x-3)(x-4)
x^2+8x+12=(x+2)(x+6)
x^2-8x+12=(x-2)(x-6)
x^2+13x+12=(x+1)(x+12)
x^2-13x+12=(x-1)(x-12)
12x^2+7x+1=(3x+1)(4x+1)
12x^2-7x+1=(3x-1)(4x-1)
12x^2+8x+1=(2x+1)(6x+1)
12x^2-8x+1=(2x-1)(6x-1)
12x^2+13x+1=(x+1)(12x+1)
12x^2-13x+1=(x-1)(12x-1)
x^2+6x+8=(x+2)(x+4)
x^2-6x+8=(x-2)(x-4)
x^2+9x+8=(x+1)(x+8)
x^2-9x+8=(x-1)(x-8)
8x^2+6x+1=(2x+1)(4x+1)
8x^2-6x+1=(2x-1)(4x-1)
8x^2+9x+1=(x+1)(8x+1)
8x^2-9x+1=(x-1)(8x-1)
x^2+7x+10=(x+2)(x+5)
x^2-7x+10=(x-2)(x-5)
x^2+5x+4=(x+1)(x+4)
x^2-5x+4=(x-1)(x-4)
x^2+5x+6=(x+2)(x+3)
x^2-5x+6=(x-2)x-3)
x^2-5x-6=(x-6)(x+1)
x^2+5x-6=(x+6)(x-1)
x^2+4x+3=(x+1)(x+3)
x^2-4x+3=(x-1)(x-3)
x^2-3x-4=(x-4)(x+1)
x^2+3x-4=(x+4)(x-1)