因式分解练习题 (把题目放在前面后面放答案)要初一下册数学的因式分解,题目最好较经典,谢谢!

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/03 23:54:43
因式分解练习题 (把题目放在前面后面放答案)要初一下册数学的因式分解,题目最好较经典,谢谢!

因式分解练习题 (把题目放在前面后面放答案)要初一下册数学的因式分解,题目最好较经典,谢谢!
因式分解练习题 (把题目放在前面后面放答案)
要初一下册数学的因式分解,题目最好较经典,谢谢!

因式分解练习题 (把题目放在前面后面放答案)要初一下册数学的因式分解,题目最好较经典,谢谢!
4(3x+2y)^2-9(x-y)^2
=[2(3x+2y)+3(x-y)][2(3x+2y)-3(x-y)]
=(9x+y)(3x+7y)
m^3-m=m(m^2-1)=m(m+1)(m-1)
-x^2+10xy-25y^2=-(x-5y)^2
(a+b+c)^2=[a+(b+c)]^2
=a^2+2a(b+c)+(b+c)^2
=a^2+2ab+2ac+b^2+2bc+c^2
=a^2+b^2+c^2+2ab+2ac+2bc
(a+b)^2+2(a+b)c+c^2
=(a+b+c)^2
4a(a-b)+b^2
=4a^2-4ab+b^2
=(2a-b)^2
4xy^2-4x^2y-y^3
=-y(4x^2-4xy+y^2)
=-y(2x-y)^2
(4a^2+1)^2-16a^2
=(4a^2+1+4a)(4a^2+1-4a)
=(2a+1)^2(2a-1)^2
49.9^2+9.98+0.1^2
=49.9^2+2*49.9+0.1^2
=(49.9+0.1)^2
=50^2
=2500
99^2+199
=99^2+2*99+1
=(99+1)^1
=100^2
=10000

因式分解3a3b2c-6a2b2c2+9ab2c3=
3.因式分解xy+6-2x-3y=
4.因式分解x2(x-y)+y2(y-x)=
5.因式分解2x2-(a-2b)x-ab=
6.因式分解a4-9a2b2=
7.若已知x3+3x2-4含有x-1的因式,试分解x3+3x2-4=
8.因式分解ab(x2-y2)+xy(a2-b2)=
9.因式分解(x+y)(a-b-c)+(x-y)(b+c-a)=
10.因式分解a2-a-b2-b=
11.因式分解(3a-b)2-4(3a-b)(a+3b)+4(a+3b)2=
12.因式分解(a+3)2-6(a+3)=
13.因式分解(x+1)2(x+2)-(x+1)(x+2)2=
abc+ab-4a= .
(2)16x2-81= .
(3)9x2-30x+25= .
(4)x2-7x-30=
35.因式分解x2-25= .
36.因式分解x2-20x+100= .
37.因式分解x2+4x+3= .
38.因式分解4x2-12x+5= .
39.因式分解下列各式:
(1)3ax2-6ax= .
(2)x(x+2)-x= .
(3)x2-4x-ax+4a= .
(4)25x2-49= .
(5)36x2-60x+25= .
(6)4x2+12x+9= .
(7)x2-9x+18= .
(8)2x2-5x-3= .
(9)12x2-50x+8= .
40.因式分解(x+2)(x-3)+(x+2)(x+4)= .
41.因式分解2ax2-3x+2ax-3= .
42.因式分解9x2-66x+121= .
43.因式分解8-2x2= .
44.因式分解x2-x+14 = .
45.因式分解9x2-30x+25= .
46.因式分解-20x2+9x+20= .
47.因式分解12x2-29x+15= .
48.因式分解36x2+39x+9= .
49.因式分解21x2-31x-22= .
50.因式分解9x4-35x2-4= .
51.因式分解(2x+1)(x+1)+(2x+1)(x-3)= .
52.因式分解2ax2-3x+2ax-3= .
53.因式分解x(y+2)-x-y-1= .
54.因式分解(x2-3x)+(x-3)2= .
55.因式分解9x2-66x+121= .
56.因式分解8-2x2= .
57.因式分解x4-1= .
58.因式分解x2+4x-xy-2y+4= .
59.因式分解4x2-12x+5= .
60.因式分解21x2-31x-22= .
61.因式分解4x2+4xy+y2-4x-2y-3= .
62.因式分解9x5-35x3-4x= .
63.因式分解下列各式:
(1)3x2-6x= .
(2)49x2-25= .
(3)6x2-13x+5= .
(4)x2+2-3x= .
(5)12x2-23x-24= .
(6)(x+6)(x-6)-(x-6)= .
(7)3(x+2)(x-5)-(x+2)(x-3)= .
(8)9x2+42x+49= .
答案
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)
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^2-9=(X+3)(X-3)
X^2-2X+1=(X-1)^2

http://zhidao.baidu.com/question/264647627.html帮个忙,有分