初一因式分解。24道
\u521d\u4e00\u56e0\u5f0f\u5206\u89e31.\uff08x^2-3)^2+2(x^2-3)(x-3)+(x-3)^2
=(x^2-3+x-3)^2
=(x^2+x-6)^2
=(x+3)^2(x-2)^2
2.(x+1)(x+3)(x+5)(x+7)+15
=[(x+1)(x+7)][(x+3)(x+5)]+15
=(x^2+8x+7)(x^2+8x+15)+15
=(x^2+8x)+22(x^2+8x)+105+15
=(x^2+8x)+22(x^2+8x)+120
=(x^2+8x+10)(x^2+8x+12)
=(x^2+8x+10)(x+2)(x+6)
3.x^2+y^2+4x+2y+3\u2014\u2014\u9898\u76ee\u662f\u4e0d\u662f\u5199\u9519\u4e86\u5440
x^2-y^2+4x+2y+3
=(x^2+4x+4)-(y^2-2y+1)
=(x+2)^2-(y-1)^2
=(x+2+y-1)(x+2-y+1)
=(x+y+1)(x-y+3)
4.(a^2+a+1)^2+2(a^2+a+1)(a^2+a-1)+(a^2+a-1)^2
=(a^2+a+1+a^2+a-1)^2
=(2a^2+2a)^2
=[2a(a+1)]^2
=4a^2(a+1)^2
5.(x^2+4)^2-16x^2
=(x^2+4+4x)(x^2+4-4x)
=(x+2)^2(x-2)^2
6.(a+b+c)^2-(a-b-c)^2
=(a+b+c+a-b-c)(a+b+c-a+b+c)
=2a(2b+2c)
=4a(b+c)
7.25(x-y)^2-16(x+y)^2
=[5(x-y)+4(x+y)][5(x-y)-4(x+y)]
=(9x-y)(x-9y)
8.x^4-81x^2y^2
=x^2(x^2-9y^2)
=x^2(x+3y)(x-3y)
9.x^2(x-y)+y^2(y-x)
=(x^2-y^2)(x-y)
=(x+y)(x-y)^2
10.(a-b)(x-y)+(b-a)(x+y)
=(b-a)(-x+y+x+y)
=2y(b-a)
(\u4e58\u6cd5)
11.2(2m-1)^2-3(m+1)(m-1)-2(m-1)^2
=8m^2-8m+2-3m^2+3-2m^2+4m-2
=3m^2-4m+3
12.(2x+y+3t)(2x-y-3t)
=(2x)^2-(y+3t)^2
=4x^2-y^2-6ty-9t^2
13.(3a+1)^2(3a-1)^2
=[(3a+1)(3a-1)]^2
=(9a^2-1)^2
=81a^4-18a^2+1
14.(2x-y)(2x+y)-(3x-y)(4x-y)
=4x^2-y^2-(12x^2-7xy+y^2)
=-8x^2+7xy-2y^2
15.(-4x+2y)(-2y-4x)-(2x+3y)(8x-9y)
=(-4x)^2-(2y)^2-(16x^2+6xy-27y^2)
=16x^2-4y^2-16x^2-6xy+27y^2
=23y^2-6xy
16.(2a+b-c)^2
=(2a)^2+2\u00b72a(b-c)+(b-c)^2
=4a^2+4ab-4ac+b^2-2bc+c^2
=4a^2+b^2+c^2+4ab-4ac-2bc
\u89e3\uff1a
4(2x^2-x+1)(x^2-2x+3)-(3x^2-3x+4)^2 =4(2x^2-x+1)(x^2-2x+3)-[(2x^2-x+1)+(x^2-2x+3)]^2 =4(2x^2-x+1)(x^2-2x+3)-(2x^2-x+1)^2-(x^2-2x+3)^2-2(2x^2-x+1)(x^2-2x+3) =-(2x^2-x+1)^2-(x^2-2x+3)^2+2(2x^2-x+1)(x^2-2x+3) =-[(2x^2-x+1)^2+(x^2-2x+3)^2-2(2x^2-x+1)(x^2-2x+3) =-[(2x^2-x+1)-(x^2-2x+3)]^2 =-(x^2+x-2)^2 =-(x+2)^2(x-1)^2
\u795d\u5b66\u4e60\u8fdb\u6b65
2,x^-8x-20=(x-10)(x+2)
3,x^+8x-20=(x+10)(x-2)
4,x^-8x-33 =(x-11)(x+3)
5,x^-4x-32 =(x-8)(x+4)
6,x^-14x+33 =(x-3)(x-11)
7,x^+49x+48=(x+48)(x+1)
8,x^-14x+48=(x-6)(x-8)
9,x^-2x-48=(x-8)(x+6)
10,x^+22x-48=(x+24)(x-2)
11,x^-19x+48=(x-3)(x-16)
12,x^-16x+48=(x-12)(x-4)
13,x^+8x-48=(x+12)(x-4)
14,x^-29x+100=(x-4)(x-25)
15,x^+x-72 =(x+9)(x-8)
16,x^+32x-33 =(x+33)(x-1)
17,x^-21x-100=(x-25)(x+4)
18,x^+4x+3=(x+3)(x+1)
19,x^-6x+5=(x-5)(x-1)
20,x^+15x+26=(x+2)(x+13)
21,x^-15x+26=(x-2)(x-13)
22,x^-25x+26=没法分解。
23,x^-25x-26=(x-26)(x+1)
24,x^+5x-6=(x+6)(x-1)
没看懂
你说得平方是2次方吧，不是x的多少多少次方，
哎，现在的孩子真懒惰。
绛旓細21,x^-15x+26=(x-2)(x-13)22,x^-25x+26=娌℃硶鍒嗚В銆23,x^-25x-26=(x-26)(x+1)24,x^+5x-6=(x+6)(x-1)
绛旓細1).x^2+(a+b)x+ab 2).a^2+2ab+b^2 3).a^2-2ab+b^2 4).a^3+3a^2b+3ab^2+b^3 5).a^2+b^2+c^2+2ab+2bc+2ca 6).a^3-3a^2b+3ab^2-b^3 7).a^3+b^3+c^3+3a^2b+3ab^2+3b^2c+3bc^2 +3a^2c+3ac^2+6abc 8).a^2-b^2 9).a^3+b^3 10)...
绛旓細涓锛氫功鍐欎笂鍘荤殑锛 1銆4x^2yz-12xy^2z+18xyz^2 2銆(a-2b)^2-(3a-2b)^2 3銆2x^5-32x 4銆-16a^2+9(2a-b)^2 5銆1/3mn^3-1/12m^3n6銆12x-12x^2+3x^3 7銆-36z^2+12xyz-x^2y^2 8銆(a+b)^2(a-b)+(a+b)(a-b)^2 9銆24ab^2c^2(a+b-c)-32...
绛旓細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.鍥犲紡鍒嗚В21x2-31x-22= 銆50.鍥犲紡鍒嗚В9x4-35x...
绛旓細x-7)(x+1)23,X^+6X-7 =(x+7)(x-1)24,X^-12X+11 =(x-11)(x-1)25,X^+9X+18 =(x+3)(x+6)26,X^-19X+18 =(x-18)(x-1)27,X^+7X-18 =(x+9)(x-2)28,X^+19X+18 =(x+18)(x+1)29,X^+27X+26 =(x+26)(x+1)30,X^+12X+20 =(x+2)(x+10)...
绛旓細(1)x^2-9x+8=0 绛旀锛歺1=8 x2=1 (2)x^2+6x-27=0 绛旀锛歺1=3 x2=-9 (3)x^2-2x-80=0 绛旀锛歺1=-8 x2=10 (4)x^2+10x-200=0 绛旀锛歺1=-20 x2=10 (5)x^2-20x+96=0 绛旀锛歺1=12 x2=8 (6)x^2+23x+76=0 绛旀锛歺1=-19 x2=-4 (7)x^2-25x+154=0 ...
绛旓細渚1.鍒嗚В鍥犲紡:(1)4a2-9b2 (2)-25a2y4+16b16 鍒嗘瀽:鈶犫埖4a2=(2a)2,9b2=(3b)2,閭ｄ箞鍙鎶2a鍜3b鐪嬩綔骞虫柟宸叕寮忎腑鐨刟鍜宐 鍗冲彲銆 鈶″皢涓ら」浜ゆ崲鍚,杩欎袱椤瑰紡鏄钩鏂瑰樊鐨勫舰寮忋 瑙:(1)4a2-9b2 =(2a)2-(3b)2 =(2a+3b)(2a-3b) 娉:涓轰繚璇佽В棰樻纭灏嗕腑闂存楠(2a)2-(3b)2鍐欎笂,...
绛旓細18,x^-17x+72 19,x^+6x+8 20,x^-11x+28 21,x^-9x+8 22,x^+4x-12 23,x^-2x-15 24,x^+6x+5 25,a^+a-12 26,x^-8x+7 27,x^+5x-14 28,x^-3x-28 29,x^-3x-10 30,n^-14n+24 31,x^-7x+12 32,x^-7x+6 33,x^-x-6 34,x^+3x-10 35,x^+2x-15 ...
绛旓細涓嶇煡閬撴ゼ涓诲澶э紝鏈夋病鏈夊澶氭骞傜殑鍥犲紡鍒嗚В锛屾垜杩欓噷鏈夊崄鍑犻亾棰橈紝鍩烘湰涓婇兘鏄寚鏁颁负3鐨勫洜寮忋備笉鐭ユ湁娌℃湁鐢ㄣ傦紙鍦▁鍚庤竟鐨勬暟瀛楅兘鏄寚鏁帮紝鎴戣寰梌绗﹀彿鎵撳お澶氫簡瀹规槗涔便傘傦級1锛墄3-4x2+5x-2 2锛墄3+3x2-x-3 3锛墄3-3x2-4x+12 4锛墄3-5x2-8x+12 5锛墄3-7x-6 6锛墄3+x2-14x-24 7锛2x3-...
绛旓細杩囩▼鍐欒捣鏉ュお楹荤儲浜嗭紝鐩存帴鍛婅瘔浣犳渶鍚庣殑绛旀 1銆(x-1)(x+1)(x+2)(x+3)2銆(a+b+c)(a-b)3銆(x-1)^2-(y+2)^2 4銆(2a+b+3)(2a-b)5銆(3a+2b-c)(3a-2b+c)6銆(a-b+c)(a-b-c)7銆(x^2+x+4)(x^2+x-3)
