急需80道分解因式算数题要有过程答案
\u6c42\u51e0\u9053\u56e0\u5f0f\u5206\u89e3\u7684\u7b97\u6570\u9898\u7b54\u6848\uff0c\u8981\u8fc7\u7a0b\u540c\u5fd7\uff0c\u8fd9\u662f\u5982\u6b64\u7b80\u5355\u7684\u9898\u554a\uff01\u8981\u5e2e\u52a9\u5417\uff1f
1. \u539f\u5f0f=-4b(2a²+a-3b)
2. \u539f\u5f0f=4x²y²(3xy-2y+1)
3.\u539f\u5f0f=-2xy(2x²y-14x+1)
4.\u539f\u5f0f=-4ab(a²b³-3ab²+4)
(2)(x平方+x-2)(x平方+x+4)-16
(3)x平方-xy-2x+2y
(4)6x立方-13x平方+6x
(5)4x平方-2x-y平方-y
(6)x平方-2xy+y平方-3x+3y+2
(7）已知a+b=2，求（a平方-b平方）平方-8（a平方+b平方）的值
(8)若a(a-1)-(a平方-b)=-2,求 a平方+b平方/2 -ab的值
答案：1. ax^2-bx^2-bx+ax+b-a=(a-b)x^2+(a-b)x-(a-b)=(a-b)(x^2+x-1)。
2. (x^2+x-2)(x^2+x+4)-16=(x^2+x-2)[x^2+x-2)+6]-16=(x^2+x-2)^2+6(x^2+x-2)-16=(x^2+x-4)(x^2+x+6)。
3. x^2-xy-2x+2y=x^2-xy-2(x-y)=x(x-y)-2(x-y)=(x-y)(x-2)。
5. 4x^2-2x-y^2-y=(2x)^2-y^2-(2x+y)=(2x+y)(2x-y)-(2x+y)=(2x+y)(2x-y-1)。
6. x^2-2xy+y^2-3x+3y+2=(x-y)^2-3(x-y)+2=(x-y-1)(x-y-2)。
7. a+b=2，(a^2-b^2)^2-8(a^2+b^2)=(a-b)^2(a+b)^2-8[(a+b)^2-2ab]=(a-b)^2(a+b)^2-8(a+b)^2+16ab=(a+b)^2[(a-b)^2-8]+16ab=(a+b)^2[(a+b)^2-4ab-8]+16ab=4*(4-4ab-8)+16ab=-16。
8. a(a-1)-(a^2-b)=-2，a-b=2，
(a^2+b^2)/2-ab=(a+b)^2/2=2。
下面很多题，应该够用了吧。. 5ax+5bx+3ay+3by
解法：=5x(a+b)+3y(a+b)
=(5x+3y)(a+b)
2. x^3-x^2+x-1
解法：=(x^3-x^2)+(x-1)
=x^2(x-1)+ (x-1)
=(x-1)(x^2+1)
3. x2-x-y2-y
解法：=(x2-y2)-(x+y)
=(x+y)(x-y)-(x+y)
=(x+y)(x-y-1)
bc(b+c)+ca(c-a)-ab(a+b)
=bc(c-a+a+b)+ca(c-a)-ab(a+b)
=bc(c-a)+bc(a+b)+ca(c-a)-ab(a+b)
=bc(c-a)+ca(c-a)+bc(a+b)-ab(a+b)
=(bc+ca)(c-a)+(bc-ab)(a+b)
=c(c-a)(b+a)+b(a+b)(c-a)
=(c+b)(c-a)(a+b)．
x^2+3x-40
=x^2+3x+2.25-42.25
=(x+1.5)^2-(6.5)^2
=(x+8)(x-5)．
(x^2+x+1)(x^2+x+2)-12时，可以令y=x^2+x,则
原式=(y+1)(y+2)-12
=y^2+3y+2-12=y^2+3y-10
=(y+5)(y-2)
=(x^2+x+5)(x^2+x-2)
=(x^2+x+5)(x+2)(x-1)．
(1+y)^2-2x^2(1+y^2)+x^4(1-y)^2
解：原式=(1+y)^2+2(1+y)x^2(1+y)+x^4(1-y)^2-2(1+y)x^2(1-y)-2x^2(1+y^2)
=[(1+y)+x^2(1-y)]^2-2(1+y)x^2(1-y)-2x^2(1+y^2)
=[(1+y)+x^2(1-y)]^2-(2x)^2
=[(1+y)+x^2(1-y)+2x]·[(1+y)+x^2(1-y)-2x]
=(x^2-x^2y+2x+y+1)(x^2-x^2y-2x+y+1)
=[(x+1)^2-y(x^2-1)][(x-1)^2-y(x^2-1)]
=(x+1)(x+1-xy+y)(x-1)(x-1-xy-y)
x^5+3x^4y-5x^3y^2+4xy^4+12y^5
解：原式=(x^5+3x^4y)-(5x^3y^2+15x^2y^3)+(4xy^4+12y^5)
=x^4(x+3y)-5x^2y^2(x+3y)+4y^4(x+3y)
=(x+3y)(x^4-5x^2y^2+4y^4)
=(x+3y)(x^2-4y^2)(x^2-y^2)
=(x+3y)(x+y)(x-y)(x+2y)(x-2y)
分解因式m +5n-mn-5m
解：m +5n-mn-5m= m -5m -mn+5n
= (m -5m )+(-mn+5n)
=m(m-5)-n(m-5)
=(m-5)(m-n)
分解因式bc(b+c)+ca(c-a)-ab(a+b)
解：bc(b+c)+ca(c-a)-ab(a+b)=bc(c-a+a+b)+ca(c-a)-ab(a+b)
=bc(c-a)+ca(c-a)+bc(a+b)-ab(a+b)
=c(c-a)(b+a)+b(a+b)(c-a)
=(c+b)(c-a)(a+b)
1.(2a-b)�0�5+8ab
2.y�0�5-2y-x�0�5+1
3.x�0�5-xy+yz-xz
4.6x�0�5+5x-4
5.2a�0�5-7ab+6b�0�5
6.(x�0�5-2x)�0�5+2(x�0�5-2x)+1
7.(x�0�5-2x)�0�5-14(x�0�5-2x)-15
8.x�0�5(x-y)+(y-x)
9.169(a+b)�0�5-121(a-b)�0�5
10.(x-3)(x-5)+1
答案：1.(2a-b)�0�5+8ab=(2a+b)�0�5
2.y�0�5-2y-x�0�5+1=(y-1)�0�5-x�0�5=(y-1-x)(y-1+x)
3.x�0�5-xy+yz-xz =x(x-y)-z(x-y)=(x-z)(x-y)
4.6x�0�5+5x-4 =(2x-1)(3x+4)
5.2a�0�5-7ab+6b�0�5=(2a-3b)(a-2b)
6.(x�0�5-2x)�0�5+2(x�0�5-2x)+1 =(x�0�5-2x+1)�0�5=(x-1)^4
7.(x�0�5-2x)�0�5-14(x�0�5-2x)-15 =(x�0�5-2x-15)(x�0�5-2x+1)=(x+3)(x-5)(x-1)�0�5
8.x�0�5(x-y)+(y-x) =(x�0�5-1)(x-y)=(x+1)(x-1)(x-y)
9.169(a+b)�0�5-121(a-b)�0�5
=(14a+14b-11a+11b)(14a+14b+11a-11b)
=(3a+25b)(25a+3b)
10.(x-3)(x-5)+1 =(x-3)�0�5-2(x-3)+1 =(x-3-1)�0�5=(x-4)�0�5
-5a^2+16a=a(16-5a)
8x^2-4x=4x(2x-1)
15p+10p^2＝5p(3+2p)
－3x^2y-6xy=-3xy(x+2y)
14m^3n^2-6m^2n^3=2m^2n^2(7m-6n)
27a^2 b^3 c+18ab^2=9ab^2(3abc+2)
18xy^2 z^3+12x^2 y^2=6xy^2(3z^3+2x)
8m^2 n^2 -6m^3 n^2=2m^2 n^2(4-3m)
因式分解3a3b2c－6a2b2c2＋9ab2c3＝3ab^2 c(a^2-2ac+3c^2)
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)
绛旓細鈶=80脳锛3.5²-1.5²锛=80*锛3.5+1.5锛*锛3.5-1.5锛=80*5*2=800
绛旓細[-|98|+76+(-87)]*23[56+(-75)-(7)]-(8+4+3)5+21*8/2-6-59 68/21-8-11*8+61 -2/9-7/9-56 4.6-(-3/4+1.6-4-3/4)1/2+3+5/6-7/12 [2/3-4-1/4*(-0.4)]/1/3+2 22+(-4)+(-2)+4*3 -2*8-8*1/2+8/1/8 (2/3+1/2)/(-1/12)*(-12...
绛旓細x -2x -x=x(x -2x-1)2銆 搴旂敤鍏紡娉 鐢变簬鍒嗚В鍥犲紡涓庢暣寮忎箻娉曟湁鐫浜掗嗙殑鍏崇郴锛屽鏋滄妸涔樻硶鍏紡鍙嶈繃鏉ワ紝閭ｄ箞灏卞彲浠ョ敤鏉ユ妸鏌愪簺澶氶」寮忓垎瑙ｅ洜寮忋備緥2銆佸垎瑙ｅ洜寮廰 +4ab+4b (2003鍗楅氬競涓冮)瑙ｏ細a +4ab+4b =锛坅+2b锛3銆 鍒嗙粍鍒嗚В娉 瑕佹妸澶氶」寮廰m+an+bm+bn鍒嗚В鍥犲紡锛屽彲浠ュ厛鎶婂畠鍓嶄袱椤瑰垎鎴愪竴...
绛旓細{(80-4x)/4}^2-x^2=40 瑙ｅ緱x=9 1涓鏂瑰舰鍛ㄩ暱涓36m锛岄潰绉81m^2,鍙1涓懆闀44m,闈㈢Н121m^2 绗3棰橈細x^3+y^3鍙鍒嗚В涓(x+y)(x^2-xy+y^2)鏍规嵁鏉′欢x+y=1,xy=-1寰楀埌(x+y)^2=1 鍒嗚В寮x^2+y^2+2xy=1,浠ｅ叆鏉′欢寰梮^2+y^2=3 鍐嶄唬鍏ユ渶鍒濈殑鍒嗚В寮忎腑寰楀埌x^3+y^3=4 ...
绛旓細鍥犲紡鍒嗚В鐨棰樼洰锛屽鏋滅粰浣犺緭鍏ワ紝杩樼‘瀹炴尯楹荤儲锛屼笉杩囧憡璇変綘涓ソ鍔炴硶锛屽埆璇80閬锛屽嚑鐧鹃亾閮芥病闂锛岀湅涓嬮潰鐨勫浘锛屼笅鍥剧殑杩欎釜缃戠珯灏辨槸鎼滈鐩殑濂藉湴鏂 缃戝潃鍦ㄥ乏涓婅锛岀劧鍚庤繘鍏ュ悗鐩存帴鎼滃洜寮忓垎瑙ｅ氨濂戒簡
绛旓細6锛(x-3)(x+4)(x-5)(x+6)+80 (x-3)(x+4)(x-5)(x+6)+80 =(x-3)(x+4)(x-5)(x+6)+80 =(x²-x-12)(x²-x-30)+80 =[(x²-x)-12][(x²-x)-30]+80 =(x²-x)²-42(x²-x)+360+80 =(x²-x)²-42...
绛旓細(x-1)鐨勫钩鏂(x+1)(x-3)
绛旓細绗竴闂細瑙ｏ細鈭碘垹BDC=100掳锛屸垹A=60掳 鈭粹垹ABD=鈭燘DC-鈭燗=40 鈭礏D骞冲垎鈭燗BC 鈭粹垹ABC=2鈭燗BD=80掳锛屸垹DBC=鈭燗BD=40掳 鈭礑E||BC 鈭粹垹EDB=鈭燚BC=40掳 鈭燚EB=180掳-80掳=100掳 鈭粹柍BDE鍚勫唴瑙掔殑搴︽暟涓40掳銆40掳銆100掳 绗簩闂細鈭碘垹CBE=鈭燚BE 鈭180掳-鈭燙BE=180掳-鈭燚BE 鈭粹垹...
绛旓細鈶犳槸鏁村紡鏂圭▼锛屽嵆绛夊彿涓よ竟閮芥槸鏁村紡锛屾柟绋嬩腑濡傛灉鏈夊垎姣嶏紱涓旀湭鐭ユ暟鍦ㄥ垎姣嶄笂锛岄偅涔堣繖涓柟绋嬪氨鏄垎寮忔柟绋嬶紝涓嶆槸涓鍏冧簩娆℃柟绋嬶紝鏂圭▼涓鏋滄湁鏍瑰彿锛屼笖鏈煡鏁板湪鏍瑰彿鍐咃紝閭ｄ箞杩欎釜鏂圭▼涔熶笉鏄竴鍏冧簩娆℃柟绋嬶紙鏄棤鐞嗘柟绋嬶級銆傗憽鍙惈鏈変竴涓湭鐭ユ暟锛涒憿鏈煡鏁伴」鐨勬渶楂樻鏁版槸2銆
绛旓細鍏勾绾т笂鏁板璁＄畻棰樸 鏁存暟鐨勪箻闄100閬擄紝鍥犲紡鍒嗚В100閬 鐧惧害鏂囧簱閲屾湁寰堝锛屼綘鑻ユ槸鐧惧害鐢ㄦ埛锛岀洿鎺ヤ笅杞藉氨琛岋紝鑻ヤ笉鏄紝鍙互鍏堟敞鍐岀櫨搴﹂佷綘20涓储瀵屽硷紝瓒冲浣犵敤鐨勩備綘鍊熼壌杩欓噷鐪嬬湅锛:wenku.baidu./search?word=%D5%FB%CA%BD%B5%C4%B3%CB%B3%FD%D3%EB%D2%F2%CA%BD%B7%D6%BD%E2&lm=0&od=0...
